Tootfinder

Modelling the Closed Loop Dynamics Between a Social Media Recommender System and Users' Opinions
Ella C. Davidson, Mengbin Ye
https://arxiv.org/abs/2507.19792 https://

Modelling the Closed Loop Dynamics Between a Social Media Recommender System and Users' Opinions
This paper proposes a mathematical model to study the coupled dynamics of a Recommender System (RS) algorithm and content consumers (users). The model posits that a large population of users, each with an opinion, consumes personalised content recommended by the RS. The RS can select from a range of content to recommend, based on users' past engagement, while users can engage with the content (like, watch), and in doing so, users' opinions evolve. This occurs repeatedly to capture the endless c…

Robust quantum reservoir computers for forecasting chaotic dynamics: generalized synchronization and stability
Osama Ahmed, Felix Tennie, Luca Magri
https://arxiv.org/abs/2506.22335

Robust quantum reservoir computers for forecasting chaotic dynamics: generalized synchronization and stability
We show that recurrent quantum reservoir computers (QRCs) and their recurrence-free architectures (RF-QRCs) are robust tools for learning and forecasting chaotic dynamics from time-series data. First, we formulate and interpret quantum reservoir computers as coupled dynamical systems, where the reservoir acts as a response system driven by training data; in other words, quantum reservoir computers are generalized-synchronization (GS) systems. Second, we show that quantum reservoir computers can…

This https://arxiv.org/abs/2501.08757 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Transient Instability and Patterns of Reactivity in Diffusive-Chemotaxis Soil Carbon Dynamics
We study pattern formation in a chemotaxis model of bacteria and soil carbon dynamics as an example system where transient dynamics can give rise to pattern formation outside of Turing unstable regimes. We use a detailed analysis of the reactivity of the non-spatial and spatial dynamics, stability analyses, and numerical continuation to uncover detailed aspects of this system's pattern-forming potential. In addition to patterning in Turing unstable parameter regimes, reactivity of the spatial s…

wiki_link_dyn: Wikipedia link dynamics (2011)
Six networks of the evolving hyperlink structure among wikipedia articles, for simple English (en), German (de), Dutch (nl), Polish (pl), Italian (it), French (fr), taken in August 2011. Each edge is timestamped, and an edge (i,j) indicates that article i hyperlinks to j. The edge sign indicates the addition ( 1) or deletion (-1) of that link at the specified time.
This network has 100312 nodes and 1627472 edges.
Tags: Informati…

Dynamic signature of the thermodynamic transition in a novel mean field system
Ehtesham Anwar, Ujjwal Kumar Nandi, Palak Patel, Sanket Kumawat, Sarika Maitra Bhattacharyya
https://arxiv.org/abs/2505.23371

Dynamic signature of the thermodynamic transition in a novel mean field system
Understanding the connection between thermodynamics and dynamics in glass-forming liquids remains a central challenge in condensed matter physics. In this study, we investigate a novel model system that enables a continuous crossover from a standard three dimensional liquid to a fully connected mean field like system by introducing pseudo neighbours. These pseudo neighbours enhance the effective connectivity of the system without altering its local structure. While their presence slows down the…

Dynamics of thin film flows on a vertical fibre with vapor absorption
Souradip Chattopadhyay, Zihao Yu, Y. Sungtaek Ju, Hangjie Ji
https://arxiv.org/abs/2505.22379

Dynamics of thin film flows on a vertical fibre with vapor absorption
Water vapor capture through free surface flows plays a crucial role in various industrial applications, such as liquid desiccant air conditioning systems, water harvesting, and dewatering. This paper studies the dynamics of a silicone liquid sorbent (also known as water-absorbing silicone oil) flowing down a vertical cylindrical fibre while absorbing water vapor. We propose a one-sided thin-film-type model for these dynamics, where the governing equations form a coupled system of nonlinear four…

Dynamics of chiral phase transition in a $N_f=2 1$ soft-wall AdS/QCD model
Han Tang, Bin Dong, Nanxiang Wen, Yidian Chen, Danning Li
https://arxiv.org/abs/2507.21735 https://

Dynamics of chiral phase transition in a $N_f=2+1$ soft-wall AdS/QCD model
We investigate the real-time dynamics of the chiral phase transition in a soft-wall AdS/QCD model, of which the mass plane phase diagram from equilibrium calculation is qualitatively consistent with the so-called Columbia plot. By directly solving the non-equilibrium evolution of the order parameter of the chiral phase transition, i.e. the chiral condensate, we study the thermalization of the QCD matter in different regions of the quark mass plane. It is shown that, when the system is close to …

Fermionic operatorial model of a system with competitive and cooperative interactions
M. Gorgone, G. Inferrera, F. Oliveri
https://arxiv.org/abs/2505.21554

Fermionic operatorial model of a system with competitive and cooperative interactions
An operatorial model of a system made by $N$ agents interacting each other with mechanisms that can be thought of as cooperative or competitive is presented. We associate to each agent an annihilation, creation and number fermionic operator, and interpret the mean values of the number operators over an initial condition as measures of the agents' wealth status. The dynamics of the system is assumed to be ruled by a Hermitian Hamiltonian operator $\mathcal{H}$, and the classical Heisenberg view …

Complex Phase Analysis of Power Grid Dynamics
Jakob Niehues, Anna B\"uttner, Anne Riegler, Frank Hellmann
https://arxiv.org/abs/2506.22054 https://

Complex Phase Analysis of Power Grid Dynamics
With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a powerful tool for understanding dynamics close to an operating point, but usually depend on the reference trajectory. Thus, small deviations can render linear models invalid over time, posing a significant challenge in practice, and complicating theoretical analysis. As a solution, we show that the complex phase offers a r…

DTBIA: An Immersive Visual Analytics System for Brain-Inspired Research
Jun-Hsiang Yao, Mingzheng Li, Jiayi Liu, Yuxiao Li, Jielin Feng, Jun Han, Qibao Zheng, Jianfeng Feng, Siming Chen
https://arxiv.org/abs/2505.23730

DTBIA: An Immersive Visual Analytics System for Brain-Inspired Research
The Digital Twin Brain (DTB) is an advanced artificial intelligence framework that integrates spiking neurons to simulate complex cognitive functions and collaborative behaviors. For domain experts, visualizing the DTB's simulation outcomes is essential to understanding complex cognitive activities. However, this task poses significant challenges due to DTB data's inherent characteristics, including its high-dimensionality, temporal dynamics, and spatial complexity. To address these challenges,…

Learning Kinetic Monte Carlo stochastic dynamics with Deep Generative Adversarial Networks
Daniele Lanzoni, Olivier Pierre-Louis, Roberto Bergamaschini, Francesco Montalenti
https://arxiv.org/abs/2507.21763

Learning Kinetic Monte Carlo stochastic dynamics with Deep Generative Adversarial Networks
We show that Generative Adversarial Networks (GANs) may be fruitfully exploited to learn stochastic dynamics, surrogating traditional models while capturing thermal fluctuations. Specifically, we showcase the application to a two-dimensional, many-particle system, focusing on surface-step fluctuations and on the related time-dependent roughness. After the construction of a dataset based on Kinetic Monte Carlo simulations, a conditional GAN is trained to propagate stochastically the state of the…

NMPCM: Nonlinear Model Predictive Control on Resource-Constrained Microcontrollers
Van Chung Nguyen, Pratik Walunj, Chuong Le, An Duy Nguyen, Hung Manh La
https://arxiv.org/abs/2507.21259

NMPCM: Nonlinear Model Predictive Control on Resource-Constrained Microcontrollers
Nonlinear Model Predictive Control (NMPC) is a powerful approach for controlling highly dynamic robotic systems, as it accounts for system dynamics and optimizes control inputs at each step. However, its high computational complexity makes implementation on resource-constrained microcontrollers impractical. While recent studies have demonstrated the feasibility of Model Predictive Control (MPC) with linearized dynamics on microcontrollers, applying full NMPC remains a significant challenge. Thi…

Accretion dynamics in black holes with spontaneous Lorentz symmetry breaking
Daniela S. J. Cordeiro, Ednaldo L. B. Junior, Jos\'e Tarciso S. S. Junior, Francisco S. N. Lobo, Jorde A. A. Ramos, Manuel E. Rodrigues, Diego Rubiera-Garcia, Lu\'is F. Dias da Silva, Henrique A. Vieira
https://arxiv.org/abs/2507.22031

Accretion dynamics in black holes with spontaneous Lorentz symmetry breaking
We investigate the spherical accretion of various types of fluids onto a Schwarzschild-like black hole solution modified by a Kalb-Ramond field implementing spontaneous Lorentz symmetry violation (LV). The system is analyzed for isothermal fluids characterized by the equation of state $p=ωρ$, including ultra-stiff, ultra-relativistic, and radiation fluids. We investigate the effect of the LV parameter $l$ on the fluid density $ρ(r)$, radial velocity $u(r)$, and accretion rate $\dot{M}$. Usin…

Dynamics of a Mobile Ion in a Bose-Einstein Condensate
Piotr Wysocki, Marek Tylutki, Krzysztof Jachymski
https://arxiv.org/abs/2507.21577 https://arxiv.org…

Dynamics of a Mobile Ion in a Bose-Einstein Condensate
Characterization of the dynamics of an impurity immersed in a quantum medium is vital for fundamental understanding of matter as well as applications in modern day quantum technologies. The case of strong and long-ranged interactions is of particular importance here, as it opens the possibility to leverage quantum correlations in controlling the system properties. Here, we consider a charged impurity moving in a bosonic gas and study its properties out of equilibrium. We extract the stationary …

X-Raying a Be star disk: fundamental parameters of the eclipsing binary Be star V658 Car
Tajan H. de Amorim, Alex C. Carciofi, Jonathan Labadie-Bartz, Ariane C. Silva, Felipe Navarete, Saul A. Rappaport, Pamela Querido, Amanda C. Rubio, Jon Bjorkman, Robert Gagliano, Ivan Terentev
https://arxiv.org/abs/2507.20053

X-Raying a Be star disk: fundamental parameters of the eclipsing binary Be star V658 Car
With its two stellar eclipses and two disk attenuations per binary orbit, V658 Carinae stands out as the first clear eclipsing Be + sdOB system. This rare alignment offers a unique opportunity to probe the structure and dynamics of a Be star disk with unprecedented detail. In this study, we present the most comprehensive observational dataset and modeling effort for this system to date, including optical, near-infrared, and ultraviolet spectroscopy, space-based photometry, and optical polarizat…

Weak solutions of a viscous model for fluid-bubbles interaction
Cosmin Burtea (Universit\'e Paris Cit\'e, Sorbonne Universit\'e, CNRS, IMJ-PRG, Paris, France), David G\'erard-Varet (Universit\'e Paris Cit\'e, Sorbonne Universit\'e, CNRS, IMJ-PRG, Paris, France)
https://arxiv.org/abs/2507.21850

Weak solutions of a viscous model for fluid-bubbles interaction
We present a system of Navier-Stokes type that describes the dynamics of several spherical bubbles of gas in a liquid. It is derived from a more complete model, where the bubbles are seen as inclusions of gas of homogeneous barotropic pressure with free surfaces. The usual condition of continuity of the stress is relaxed in order to preserve the sphericity of the bubbles through time. We construct weak solutions à la Leray for this relaxed system, up to collision between the bubbles. Although …

Tunneling Dynamics and Time Delay in Electron Transport through Time-Dependent Barriers with Finite-Bandwidth Reservoirs
Shmuel Gurvitz, Dmitri Sokolovski
https://arxiv.org/abs/2507.20649

Tunneling Dynamics and Time Delay in Electron Transport through Time-Dependent Barriers with Finite-Bandwidth Reservoirs
We present a transparent and analytically tractable approach to the problem of time-dependent electron transport through tunneling barriers. Using the Single-Electron Approach, we study a model system composed of a time-dependent tunneling barrier coupled to two reservoirs of finite bandwidth. Avoiding Floquet expansions, we derive simple expressions for the time-dependent tunneling current in both adiabatic and non-adiabatic regimes. Our formulation, based on the tunneling Hamiltonian framewor…

Our urban #MobilityAnalytics project EMERALDS hosts its next webinar tomorrow:
🗓️ 27 June | ⏰ 14:30 CEST | 📍Online
How The Hague is using data to manage urban risks.
Register 👉

A Simulation-Based Conceptual Model for Tokenized Recycling: Integrating Blockchain, Market Dynamics, and Behavioral Economics
Atta Ul Mustafa
https://arxiv.org/abs/2507.19901 h…

A Simulation-Based Conceptual Model for Tokenized Recycling: Integrating Blockchain, Market Dynamics, and Behavioral Economics
This study develops a conceptual simulation model for a tokenized recycling incentive system that integrates blockchain infrastructure, market-driven pricing, behavioral economics, and carbon credit mechanisms. The model aims to address the limitations of traditional recycling systems, which often rely on static government subsidies and fail to generate sustained public participation. By introducing dynamic token values linked to real-world supply and demand conditions, as well as incorporating…

Exciton dynamics and exciton-phonon coupling in bulk and thin flakes of layered van der Waals antiferromagnet Ni2P2S6
Nasaru Khan, Yuliia Shemerliuk, Sebastian Selter, Bernd B\"uchner, Saicharan Aswartham, Pradeep Kumar
https://arxiv.org/abs/2507.19612

Exciton dynamics and exciton-phonon coupling in bulk and thin flakes of layered van der Waals antiferromagnet Ni2P2S6
The Zhang-Rice (ZR) singlet is an intriguing quantum state offering potential to realize a spin-orbit-entangled bosonic quasiparticle, which gives rise to the Zhang-Rice exciton. Its formation is attributed to the correlation between a localized d-orbital of a transition metal and the p-orbitals of the neighbouring ligands. The layered two-dimensional (2D) antiferromagnetic Ni2P2S6 system provide an excellent platform to probe the ZR exciton dynamics along with the role of exciton-phonon coupli…

Model-free Forecasting of Rogue Waves using Reservoir Computing
Abrari Noor Hasmi, Hadi Susanto
https://arxiv.org/abs/2506.21918 https://

Model-free Forecasting of Rogue Waves using Reservoir Computing
Recent research has demonstrated Reservoir Computing's capability to model various chaotic dynamical systems, yet its application to Hamiltonian systems remains relatively unexplored. This paper investigates the effectiveness of Reservoir Computing in capturing rogue wave dynamics from the nonlinear Schrödinger equation, a challenging Hamiltonian system with modulation instability. The model-free approach learns from breather simulations with five unstable modes. A properly tuned parallel Echo…

Two fluctuating interfaces with sticking interactions: Invariant measures and dynamics
Samvit Mahapatra, Malay Bandyopadhyay, Mustansir Barma
https://arxiv.org/abs/2507.20350 ht…

Two fluctuating interfaces with sticking interactions: Invariant measures and dynamics
We introduce and study a non-equilibrium stochastic model of two fluctuating interfaces which interact through short-range attractive interactions at their points of contact. Beginning from an entangled state, the system exhibits diverse dynamics -- ranging from fast transients with small lifetimes to ultraslow evolution through quasi-stationary states -- and reaches stuck, entangled, or detached steady states. Near the stuck-detached transition, two distinct dynamical modes of evolution co-occ…

Reservoir Computation with Networks of Differentiating Neuron Ring Oscillators
Alexander Yeung, Peter DelMastro, Arjun Karuvally, Hava Siegelmann, Edward Rietman, Hananel Hazan
https://arxiv.org/abs/2507.21377

Reservoir Computation with Networks of Differentiating Neuron Ring Oscillators
Reservoir Computing is a machine learning approach that uses the rich repertoire of complex system dynamics for function approximation. Current approaches to reservoir computing use a network of coupled integrating neurons that require a steady current to maintain activity. Here, we introduce a small world graph of differentiating neurons that are active only when there are changes in input as an alternative to integrating neurons as a reservoir computing substrate. We find the coupling strengt…

Data-Driven Intrusion Detection in Vehicles: Integrating Unscented Kalman Filter (UKF) with Machine Learning
Shuhao Bian, Milad Farsi, Nasser L. Azad, Chris Hobbs
https://arxiv.org/abs/2506.22404

Data-Driven Intrusion Detection in Vehicles: Integrating Unscented Kalman Filter (UKF) with Machine Learning
In the realm of Cyber-Physical System (CPS), accurately identifying attacks without detailed knowledge of the system's parameters remains a major challenge. When it comes to Advanced Driver Assistance Systems (ADAS), identifying the parameters of vehicle dynamics could be impractical or prohibitively costly. To tackle this challenge, we propose a novel framework for attack detection in vehicles that effectively addresses the uncertainty in their dynamics. Our method integrates the widely used U…

Ranking dynamics in movies and music
Hyun-Woo Lee, Gerardo I\~niguez, Hang-Hyun Jo, Hye Jin Park
https://arxiv.org/abs/2506.21944 https://

Ranking dynamics in movies and music
Ranking systems are widely used to simplify and interpret complex data across diverse domains, from economic indicators and sports scores to online content popularity. While previous studies including the Zipf's law have focused on the static, aggregated properties of ranks, in recent years researchers have begun to uncover generic features in their temporal dynamics. In this work, we introduce and study a series of system-level indices that quantify the compositional changes in ranking lists o…

Multiscale geometrical and topological learning in the analysis of soft matter collective dynamics
Tetiana Orlova, Amaranta Membrillo Solis, Hayley R. O. Sohn, Tristan Madeleine, Giampaolo D'Alessandro, Ivan I. Smalyukh, Malgosia Kaczmarek, Jacek Brodzki
https://arxiv.org/abs/2507.21265

Multiscale geometrical and topological learning in the analysis of soft matter collective dynamics
Understanding the behavior and evolution of a dynamical many-body system by analyzing patterns in their experimentally captured images is a promising method relevant for a variety of living and non-living self-assembled systems. The arrays of moving liquid crystal skyrmions studied here are a representative example of hierarchically organized materials that exhibit complex spatiotemporal dynamics driven by multiscale processes. Joint geometric and topological data analysis (TDA) offers a powerf…

Optimal control of stochastic homogenous systems
Ying Hu, Xiaomin Shi, Zuo Quan Xu
https://arxiv.org/abs/2507.21576 https://arxiv.org/pdf/2507.21576…

Optimal control of stochastic homogenous systems
This paper investigates a new class of homogeneous stochastic control problems with cone control constraints, extending the classical homogeneous stochastic linear-quadratic (LQ) framework to encompass nonlinear system dynamics and non-quadratic cost functionals. We demonstrate that, analogous to the LQ case, the optimal controls and value functions for these generalized problems are intimately connected to a novel class of highly nonlinear backward stochastic differential equations (BSDEs). We…

America's Got Talent: Boston Dynamics lässt Spot-Roboter tanzen, Panne inklusive
Boston Dynamics beweist die besonderen Talente seiner Spot-Roboter bei der Talentshow "America's Got Talent" – auch wenn es eine Panne gab.

This https://arxiv.org/abs/2402.11229 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with $\mathcal{D}_8^{(1)}$ spectrum
Emergent Ising$_h^2$ integrability is anticipated in a quantum Ising ladder composed of two weakly-coupled critical transverse field Ising chains. The system is remarkable for including eight types of massive relativistic particles, with their scattering matrix and mass spectrum characterized by the $\mathcal{D}_8^{(1)}$ Lie algebra. In this article, by computing the spin dynamical structure factors following analytical form factor approach, we clearly identify dispersive single-particle excita…

The Born-Oppenheimer approximation for a 1D 2 1 particle system with zero-range interactions
Claudio Cacciapuoti, Andrea Posilicano, Hamidreza Saberbaghi
https://arxiv.org/abs/2506.21457

The Born-Oppenheimer approximation for a 1D 2+1 particle system with zero-range interactions
We study the self-adjoint Hamiltonian that models the quantum dynamics of a 1D three-body system consisting of a light particle interacting with two heavy ones through a zero-range force. For an attractive interaction we determine the behavior of the eigenvalues below the essential spectrum in the regime $\varepsilon\ll 1$, where $\varepsilon$ is proportional to the square root of the mass ratio. We show that the $n$-th eigenvalue behaves as $$E_{n}(\varepsilon)=-α^{2}+|σ_{n}|\,α^{…

An Analysis of Stable Mode Contributions to Rayleigh-B\'{e}nard Convection
Zachary R. Williams, Ava G. Lowe
https://arxiv.org/abs/2507.21019 https://ar…

An Analysis of Stable Mode Contributions to Rayleigh-Bénard Convection
In this work, we investigate the presence and impact of stable eigenmodes in Rayleigh-Bénard convection that arises due to a temperature gradient within a fluid system. The nonlinear evolution of the canonical convection system is cast in terms of eigenmode amplitudes. The linear modes that play a significant role in the dynamics across a range of Rayleigh numbers are identified. We find that while unstable eigenmodes are a significant contributor, a small number of linearly stable modes grow …

This https://arxiv.org/abs/2308.13614 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

The role of interior dynamics and differentiation on the surface and atmosphere of lava planets
Lava planets are rocky exoplanets that orbit so close to their host star that their day-side is hot enough to melt silicate rock. Their short orbital periods ensure that lava planets are tidally locked into synchronous rotation, with permanent day and night hemispheres. Such asymmetric magma oceans have no analogs in the Solar System and will exhibit novel fluid dynamics. Here we report numerical simulations of lava planet interiors showing that solid-liquid fractionation in the planetary int…

Frequency Response Data-Driven Disturbance Observer Design for Flexible Joint Robots
Deokjin Lee, Junho Song, Alireza Karimi, Sehoon Oh
https://arxiv.org/abs/2507.18979 https://…

Frequency Response Data-Driven Disturbance Observer Design for Flexible Joint Robots
Motion control of flexible joint robots (FJR) is challenged by inherent flexibility and configuration-dependent variations in system dynamics. While disturbance observers (DOB) can enhance system robustness, their performance is often limited by the elasticity of the joints and the variations in system parameters, which leads to a conservative design of the DOB. This paper presents a novel frequency response function (FRF)-based optimization method aimed at improving DOB performance, even in th…

Structural System Identification via Validation and Adaptation
Cristian L\'opez, Keegan J. Moore
https://arxiv.org/abs/2506.20799 https://

Structural System Identification via Validation and Adaptation
Estimating the governing equation parameter values is essential for integrating experimental data with scientific theory to understand, validate, and predict the dynamics of complex systems. In this work, we propose a new method for structural system identification (SI), uncertainty quantification, and validation directly from data. Inspired by generative modeling frameworks, a neural network maps random noise to physically meaningful parameters. These parameters are then used in the known equa…

Learning-Based Robust Fixed-Time Terminal Sliding Mode Control
Chaimae El Mortajinea, Moussa Labbadib, Adnane Saoudc, Mostafa Bouzia
https://arxiv.org/abs/2505.22827

Learning-Based Robust Fixed-Time Terminal Sliding Mode Control
In this paper, we develop and analyze an integral fixed-time sliding mode control method for a scenario in which the system model is only partially known, utilizing Gaussian processes. We present two theorems on fixed-time convergence. The first theorem addresses the fully known system model, while the second considers situations where the system's drift is approximated utilizing Gaussian processes (GP) for approximating unknown dynamics. Both theorems establish the global fixed-time stability …

Weak unitary symmetries of open quantum dynamics: beyond quantum master equations
Calum A. Brown, Robert L. Jack, Katarzyna Macieszczak
https://arxiv.org/abs/2506.19814

Weak unitary symmetries of open quantum dynamics: beyond quantum master equations
We consider Markovian open quantum dynamics with weak unitary symmetries. Starting from the quantum master equation for the system alone, it is known that the joint dynamics of the system and its environment can be obtained by dilation, leading to a closed dynamics for a continuous matrix product state. Performing counting measurements on the environment gives rise to stochastic dynamics of quantum trajectories for the system, which when averaged yield back the quantum master equation. In this …

Structure and dynamics of finite three-dimensional Yukawa clusters in complex plasmas : Newtonian versus Langevin Dynamics
Hirakjyoti Sarma, Nilakshi Das
https://arxiv.org/abs/2506.18820

Structure and dynamics of finite three-dimensional Yukawa clusters in complex plasmas : Newtonian versus Langevin Dynamics
The structure and dynamics of a harmonically confined three dimensional finite dust cluster are investigated via both Langevin Dynamics (LD) and frictionless Molecular Dynamics (fMD) simulation. The static structure of the system is analyzed through the Radial Distribution Function, Center-two-particle correlation function(C2P) and angular correlation function. The intra-shell angular correlation, Radial Distribution Function and C2P remains largely unaffected by the dynamics employed. However,…

Controlled Fission and Superposition of Vector Solitons in an Integrable Model of Two-Component Bose-Einstein Condensates
Ramesh Kumar Vaduganathan, Rajadurai Vijayan, Boris A. Malomed
https://arxiv.org/abs/2507.20237

Controlled Fission and Superposition of Vector Solitons in an Integrable Model of Two-Component Bose-Einstein Condensates
We investigate the dynamics of vector solitons in a two-component Bose-Einstein condensates governed by the system of Gross-Pitaevskii equations. Using a gauge-transformation approach, we construct a four-soliton solution and analyze their interactions, including superposition states, fission, and shape-preserving collisions. We explore the ability of time-dependent parameters, such as the intra- and intercomponent interaction coefficients and trapping potential, to control the soliton properti…

Conserved Quantities in the Lorenz System
B. A. Toledo
https://arxiv.org/abs/2505.20572 https://arxiv.org/pdf/2505.20572

Conserved Quantities in the Lorenz System
The Lorenz system, a seminal model in chaos theory, is renowned for its complex dynamics and sensitive dependence on initial conditions. This work investigates conserved quantities within the standard Lorenz equations. The system exhibits phase space volume contraction, a characteristic of dissipative systems. Despite the common understanding suggesting an absence of conserved quantities in its typical chaotic parameter regimes, this study demonstrates that the Lorenz system possesses at least …

#PhDCongratulations! Ziwen Huang of the #IMPRS “Solar System School” has successfully defended her PhD thesis “Investigating small-scale dynamics: Analysis and Interpretation of Solar Orbiter observations” at @…

The two party system ... is a triumph of the dialectic. It showed that
two could be one and one could be two and had probably been fabricated
by Hegel for the American market on a subcontract from General Dynamics.
-- I. F. Stone

From Brownian dynamics to Poisson-Nernst-Planck equations: multi-resolution simulations of ions
Jinyuan Zhang, Radek Erban
https://arxiv.org/abs/2506.19738

From Brownian dynamics to Poisson-Nernst-Planck equations: multi-resolution simulations of ions
Starting with a microscopic (individual-based) Brownian dynamics model of charged particles (ions), its macroscopic description is derived as a system of partial differential equations that govern the evolution of ion concentrations in space and time. The macroscopic equations are obtained in the form of the Poisson-Nernst-Planck system. A multi-resolution method for simulating charged particles is then developed, combining the detailed Brownian dynamics model in a part of the computational dom…

Diversity in Axelrod's social adaptation model
J. Villegas-Febres, E. Castillo-Felisola
https://arxiv.org/abs/2507.19757 https://arxiv.org/pdf/2507.197…

Diversity in Axelrod's social adaptation model
In this paper, we study Axelrod's model of social dynamics, introducing the concept of Cultural Diversity ($D$), defined as the variety of sizes of clusters or cultural domains formed, which measures the complexity of the system. We find that the maximum of $D$ agrees with the critical point where the monocultural/multicultural phase transition occurs, tending to a minimum value when the system's degrees of freedom, cultural traits $q$, are far from the critical point $q_c$. We show that at $q_…

Optimal Impulsive Control of Cislunar Relative Motion using Reachable Set Theory
Matthew Hunter, Walter J. Manuel, Simone D'Amico
https://arxiv.org/abs/2507.21425 https://…

Optimal Impulsive Control of Cislunar Relative Motion using Reachable Set Theory
This work presents the first application of the state-of-the-art Koenig-D'Amico reachable set theory solver to cislunar, chaotic relative motion in the Circular-Restricted Three-Body Problem (CR3BP). The relative motion dynamics of two spacecraft, a chief and a deputy, in the CR3BP are formulated as a Linear Time-Variant (LTV) system, allowing the solver to find an optimal impulsive control maneuver plan. This methodology demonstrates robust and accurate control performance for both small and l…

Tracking the rotation of light magnetic particles in turbulence
Chunlai Wu, Rudie P. J. Kunnen, Ziqi Wang, Xander M. de Wit, Federico Toschi, Herman J. H. Clercx
https://arxiv.org/abs/2506.21769

Tracking the rotation of light magnetic particles in turbulence
Particle-laden turbulence involves complex interactions between the dispersed and continuous phases. Given that particles can exhibit a wide range of properties, such as varying density, size, and shape, their interplay with the flow can lead to various modifications of the turbulence. Therefore, understanding the dynamics of particles is a necessary first step toward revealing the behavior of the multiphase system. Within the context of particle dynamics, accurately resolving rotational motion…

System Identification for Virtual Sensor-Based Model Predictive Control: Application to a 2-DoF Direct-Drive Robotic Arm
Kosei Tsuji, Ichiro Maruta, Kenji Fujimoto, Tomoyuki Maeda, Yoshihisa Tamase, Tsukasa Shinohara
https://arxiv.org/abs/2505.23138

System Identification for Virtual Sensor-Based Model Predictive Control: Application to a 2-DoF Direct-Drive Robotic Arm
Nonlinear Model Predictive Control (NMPC) offers a powerful approach for controlling complex nonlinear systems, yet faces two key challenges. First, accurately modeling nonlinear dynamics remains difficult. Second, variables directly related to control objectives often cannot be directly measured during operation. Although high-cost sensors can acquire these variables during model development, their use in practical deployment is typically infeasible. To overcome these limitations, we propose a…

This https://arxiv.org/abs/2412.04352 has been replaced.
initial toot: https://mastoxiv.page/@a…

Emergent Weyl-like points in periodically modulated systems and Floquet engineering
We investigate a three-dimensional (3D) topological phase resembling a Weyl semimetal, modulated by a periodic potential and engineered through Floquet dynamics. This system is constructed by stacking two-dimensional Chern insulators and hosts Weyl-like points defined in the parameter space $(k_x, k_y, z)$, distinct from conventional Weyl points in momentum space $(k_x, k_y, k_z)$. The Weyl-semimetal-like phase exhibits characteristics akin to those of Weyl semimetals, including linear dispersi…

Hybrid thermalization in the large $N$ limit
Toshali Mitra, Sukrut Mondkar, Ayan Mukhopadhyay, Alexander Soloviev
https://arxiv.org/abs/2506.20715 https://…

Hybrid thermalization in the large $N$ limit
Semi-holography provides a formulation of dynamics in gauge theories involving both weakly self-interacting (perturbative) and strongly self-interacting (non-perturbative) degrees of freedom. These two subsectors interact via their effective metrics and sources, while the full local energy-momentum tensor is conserved in the physical background metric. In the large $N$ limit, the subsectors have their individual entropy currents, and so the full system can reach a pseudo-equilibrium state in wh…

wiki_link_dyn: Wikipedia link dynamics (2011)
Six networks of the evolving hyperlink structure among wikipedia articles, for simple English (en), German (de), Dutch (nl), Polish (pl), Italian (it), French (fr), taken in August 2011. Each edge is timestamped, and an edge (i,j) indicates that article i hyperlinks to j. The edge sign indicates the addition ( 1) or deletion (-1) of that link at the specified time.
This network has 100312 nodes and 1627472 edges.
Tags: Informati…

Hamiltonian formulation of the quasineutral Vlasov-Poisson system
J. W. Burby
https://arxiv.org/abs/2506.21415 https://arxiv.org/pdf/…

Hamiltonian formulation of the quasineutral Vlasov-Poisson system
Slow manifold reduction and the theory of Poisson-Dirac submanifolds are used to deduce a Hamiltonian formulation for a quasineutral limit of the planar, collisionless, magnetized Vlasov-Poisson system. Motion on the slow manifold models plasma dynamics free of fast Langmuir oscillations. Preservation of quasineutrality requires the bulk plasma flow is incompressible. The electric field is determined by counterbalancing plasma stresses that would otherwise produce compression. The Hamiltonian s…

Space-time duality in polariton dynamics
Suheng Xu, Seunghwi Kim, Rocco A. Vitalone, Birui Yang, Josh Swann, Enrico M. Renzi, Yuchen Lin, Taketo Handa, X. -Y. Zhu, James Hone, Cory Dean, Andrea Cavalleri, M. M. Fogler, Andrew J. Millis, Andrea Alu, D. N. Basov
https://arxiv.org/abs/2506.18224

Space-time duality in polariton dynamics
The spatial and temporal dynamics of wave propagation are intertwined. A common manifestation of this duality emerges in the spatial and temporal decay of waves as they propagate through a lossy medium. A complete description of the non-Hermitian wave dynamics in such a lossy system, capturing temporal and spatial decays, necessitates the use of complex-valued frequency and/or wavenumber Eigen-values. Here, we demonstrate that the propagation of polaritons - hybrid light-matter quasiparticles -…

Quantifying Coupled Dynamics in Phase-Space from State Distribution Snapshots
Erez Aghion, Nava Leibovich
https://arxiv.org/abs/2507.18648 https://arxiv.or…

Quantifying Coupled Dynamics in Phase-Space from State Distribution Snapshots
We quantify nonlinear interactions between coupled complex processes, when the system is subject to noise and not all its components are measurable. Our method is applicable even when the system cannot be continuously monitored over time, but is rather observed only in snapshots. Having only partial information about the local topology of the network and observations of relevant interacting variables is sufficient to translate qualitative knowledge of interactions into a quantitative characteri…

Information-minimizing stationary financial market dynamics
Eckhard Platen
https://arxiv.org/abs/2507.18395 https://arxiv.org/pdf/2507.18395

Information-minimizing stationary financial market dynamics
The paper derives the dynamics of a financial market from basic mathematical principles. It models the market dynamics using independent stationary scalar diffusions, assumes the existence of its growth optimal portfolio (GOP), interprets the market as a communication system, and minimizes, in an information-theoretical sense, the joint information of the risk-neutral pricing measure with respect to the real-world probability measure. In this information-minimizing market, its basic independent…

Weekend #Plankton Factoid 🦠🦐
The new Surface Water and Ocean Topography (SWOT) satellite is crazy accurate. It can measure ocean altimetry to a mm, imaging internal waves and small sub eddies (rotating mixing zones). Tiny changes in height happen when water swirls (try it in a sink) with greater height at the edges due to centripetal force. These may be even more important for temperature &a…

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics
Efstratios Koukoutsis, George Vahala, Min Soe, Kyriakos Hizanidis, Linda Vahala, Abhay K. Ram
https://arxiv.org/abs/2506.21354

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics
Simulating nonlinear classical dynamics on a quantum computer is an inherently challenging task due to the linear operator formulation of quantum mechanics. In this work, we provide a systematic approach to alleviate this difficulty by developing a quantum algorithm that implements the time evolution of a second order time-discretized version of the Lorenz model. The Lorenz model is a celebrated system of nonlinear ordinary differential equations that has been extensively studied in the context…

Constraint on Momentum-coupled Dark Energy using DESI DR2
Prasanta Sahoo, Nandan Roy, Himadri Shekhar Mondal
https://arxiv.org/abs/2506.21295 https://

Constraint on Momentum-coupled Dark Energy using DESI DR2
In this work, we study two scalar field driven dark energy models characterized by the axion potential and the inverse power law potential, each coupled to dark matter through a momentum exchange interaction. By formulating the dynamics as an autonomous system, we identify the equilibrium points and analyze their stability. To constrain these models, we utilize observational data from Pantheon Plus Type Ia Supernovae, DES Y5, DESI DR2 BAO, and Planck 2018 CMB compressed likelihood, employing Ma…

Qualitative Dynamics of a Discrete Phytoplankton-Zooplankton System with Holling Type II Grazing and Type III Toxin Release
Sobirjon Shoyimardonov
https://arxiv.org/abs/2507.18094

Qualitative Dynamics of a Discrete Phytoplankton-Zooplankton System with Holling Type II Grazing and Type III Toxin Release
We study the dynamics of a discrete phytoplankton-zooplankton model with Holling type~II grazing and Holling type~III toxin release. The existence and stability of positive fixed points are analyzed, and conditions for the occurrence of Neimark--Sacker bifurcation are established. We show how feedback control can suppress complex dynamics near bifurcation. Global stability of the boundary equilibrium is also discussed. Numerical simulations confirm the theoretical findings, illustrating the ric…

On the coordinate system-dependence of the accuracy of symplectic numerical methods
Don\'at M. Tak\'acs, Tam\'as F\"ul\"op
https://arxiv.org/abs/2506.21241

On the coordinate system-dependence of the accuracy of symplectic numerical methods
Symplectic numerical methods have become a widely-used choice for the accurate simulation of Hamiltonian systems in various fields, including celestial mechanics, molecular dynamics and robotics. Even though their characteristics are well-understood mathematically, relatively little attention has been paid in general to the practical aspect of how the choice of coordinates affects the accuracy of the numerical results, even though the consequences can be computationally significant. The present…

wiki_link_dyn: Wikipedia link dynamics (2011)
Six networks of the evolving hyperlink structure among wikipedia articles, for simple English (en), German (de), Dutch (nl), Polish (pl), Italian (it), French (fr), taken in August 2011. Each edge is timestamped, and an edge (i,j) indicates that article i hyperlinks to j. The edge sign indicates the addition ( 1) or deletion (-1) of that link at the specified time.
This network has 100312 nodes and 1627472 edges.
Tags: Informati…

Relativistic van Allen belts in magnetospheres of pulsars and white dwarfs
Maxim V. Barkov, Maxim Lyutikov
https://arxiv.org/abs/2506.20515 https://…

Relativistic van Allen belts in magnetospheres of pulsars and white dwarfs
We consider dynamics and multi-frequency emission patterns of relativistic van Allen belts - particles trapped in the magnetosphere of neutron stars and white dwarths. We account for synchrotron radiative losses and effects of relativistic beaming of radiation. The system is non-Hamiltonian (non-energy conserving): this results in a wide non-scalable variety of spectral and temporal behaviors. There are three types of trapped particles' trajectories: (i) oscillating (particles experience mult…

This https://arxiv.org/abs/2505.05420 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Robustly optimal dynamics for active matter reservoir computing
Information processing abilities of active matter are studied in the reservoir computing (RC) paradigm to infer the future state of a chaotic signal. We uncover an exceptional regime of agent dynamics that has been overlooked previously. It appears robustly optimal for performance under many conditions, thus providing valuable insights into computation with physical systems more generally. The key to forming effective mechanisms for information processing appears in the system's intrinsic relax…

Effect of eigenstates on spectra in coupled-channel scattering with the chiral unitary model
Takuma Nishibuchi, Tetsuo Hyodo
https://arxiv.org/abs/2507.18941 https://

Effect of eigenstates on spectra in coupled-channel scattering with the chiral unitary model
In recent years, as experimental data on the excited $Ξ(1620)$ and $Ξ(1690)$ states have accumulated, theoretical analyses based on chiral dynamics have also been actively pursued. In this study, we construct theoretical models within the chiral unitary approach to reproduce recent experimental data, and perform a model interpolation to examine the relationship between the poles appearing in different models. We then calculate the invariant mass spectra of the $π^+Ξ^-$ system in the $Ξ_c \…

Canonical Bayesian Linear System Identification
Andrey Bryutkin, Matthew E. Levine, I\~nigo Urteaga, Youssef Marzouk
https://arxiv.org/abs/2507.11535 https…

Canonical Bayesian Linear System Identification
Standard Bayesian approaches for linear time-invariant (LTI) system identification are hindered by parameter non-identifiability; the resulting complex, multi-modal posteriors make inference inefficient and impractical. We solve this problem by embedding canonical forms of LTI systems within the Bayesian framework. We rigorously establish that inference in these minimal parameterizations fully captures all invariant system dynamics (e.g., transfer functions, eigenvalues, predictive distribution…

Finite size effect in the persistence probability of the Edwards-Wilkinson model of surface growth and effect of non-linearity
Anirban Ghosh, Dipanjan Chakraborty
https://arxiv.org/abs/2507.20149

Finite size effect in the persistence probability of the Edwards-Wilkinson model of surface growth and effect of non-linearity
The dynamical evolution of the surface height is controlled by either a linear or a nonlinear Langevin equation, depending on the underlying microscopic dynamics, and is often done theoretically using stochastic coarse-grained growth equations. The persistence probability $p(t)$ of stochastic models of surface growth that are constrained by a finite system size is examined in this work. We focus on the linear Edwards-Wilkinson model (EW) and the nonlinear Kardar-Parisi-Zhang model…

Relaxation Dynamics in Atomic-Molecular Bose Condensates in the Presence of Gaussian Noise
A. Mukherjee, R. Dasgupta
https://arxiv.org/abs/2507.18265 https://

Relaxation Dynamics in Atomic-Molecular Bose Condensates in the Presence of Gaussian Noise
We investigate the dynamics of atomic and molecular bosons weakly coupled via Feshbach detuning in the presence of Gaussian white noise. The time-evolution of the population imbalance between the two species, as well as the coherence of the system are analyzed using a Bloch sphere model. We observe that the system exhibits relaxation of the Bloch vector components towards a stable equilibrium. In the population imbalance dynamics, the relaxation rates predicted by the Bogoliubov Born Green Kirk…

OceanVive: An Immersive Visualization System for Communicating Complex Oceanic Phenomena
Yang Ouyang, Yuchen Wu, Xiyuan Wang, Laixin Xie, Weicong Cheng, Jianping Gan, Quan Li, Xiaojuan Ma
https://arxiv.org/abs/2507.17218

OceanVive: An Immersive Visualization System for Communicating Complex Oceanic Phenomena
Communicating the complexity of oceanic phenomena-such as hypoxia and acidification-poses a persistent challenge for marine science. Despite advances in sensing technologies and computational models, conventional formats like static visualizations and text-based reports often fall short in conveying the dynamics of ocean changes. To address this gap, we present OceanVive, an immersive and interactive visualization system that transforms complex ocean datasets into navigable spatial narratives. …

Effective Dynamics of Spherically Symmetric Static Spacetime
Etera R. Livine, Yuki Yokokura
https://arxiv.org/abs/2507.18345 https://arxiv.org/pdf/2507.183…

Effective Dynamics of Spherically Symmetric Static Spacetime
In general relativity, the Einstein equations provide spherically symmetric static spacetimes with dynamics defined as an evolution along the radial coordinate $r$. The geometrical sector becomes a one-dimensional mechanical system, with the Misner-Sharp mass and lapse as canonically conjugate variables, and a vanishing Hamiltonian for pure gravity. Coupling classical or quantum matter fields, or introducing (quantum) corrections to general relativity, then generate a non-vanishing effective Ha…

Derivation of the Hartree dynamics for a N-particles fermionic 2D system interacting via long-range electric and magnetic two-body singular potentials in a dilute regime
Th\'eotime Girardot
https://arxiv.org/abs/2507.16300

Derivation of the Hartree dynamics for a N-particles fermionic 2D system interacting via long-range electric and magnetic two-body singular potentials in a dilute regime
We show that a 2-dimensional system of N fermions interacting through a pairwise electric and magnetic singular interactions with Slater initial data preserves its Slater structure over time when N gets large. In other words, the wave function of the system can be approximated by a Slater determinant whose orbitals evolves according to a coupled system of N Chern-Simons- Schrödinger type effective equations. The result holds in a dilute regime where the density is of order one on a large volum…

Spherical Pendulum with Quad-Rotor Thrust Vectoring Actuation -- A Novel Mechatronics and Control Benchmark Platform
Yuchen Li, Omar Curiel, Sheng-Fan Wen, Tsu-Chin Tsao
https://arxiv.org/abs/2506.22410

Spherical Pendulum with Quad-Rotor Thrust Vectoring Actuation -- A Novel Mechatronics and Control Benchmark Platform
Motor-actuated pendulums have been established as arguably the most common laboratory prototypes used in control system education because of the relevance to robot manipulator control in industry. Meanwhile, multi-rotor drones like quadcopters have become popular in industrial applications but have not been broadly employed in control education laboratory. Platforms with pendulums and multi-rotor copters present classical yet intriguing multi-degree of freedom (DoF) dynamics and coordinate syst…

Entropy decrease and emergence of order in collective dynamics
Eitan Tadmor
https://arxiv.org/abs/2506.17635 https://arxiv.org/pdf/25…

Entropy decrease and emergence of order in collective dynamics
We study the hydrodynamic description of collective dynamics driven by velocity {\it alignment}. It is known that such Euler alignment systems must flock towards a limiting ``flocking'' velocity, provided their solutions remain globally smooth. To address this question of global existence we proceed in two steps. (i) Entropy and closure. The system lacks a closure, reflecting lack of detailed energy balance in collective dynamics. We discuss the decrease of entropy and the asymptotic behavior t…

Dynamics of colored-noise-driven stochastic Schr\"odinger equations
Pietro De Checchi, Federico Gallina, Barbara Fresch, Giulio G. Giusteri
https://arxiv.org/abs/2507.17864

Dynamics of colored-noise-driven stochastic Schrödinger equations
In this work, we study the effect of colored stochastic noise as a source of fluctuations in the dynamics of a two-level system, e.g. the states of a qubit system or two local sites in a transfer problem. We derive the stochastic Schrödinger equations (SSE) and related quantum master equations (QME) for the average density matrix for different stochastic potentials. We compare the case of memory and memoryless processes, which reflect different short-time behaviors and, in some cases, can lead…

This https://arxiv.org/abs/2503.14363 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Transitions to Intermittent Chaos in Quorum Sensing Dynamics
This study analyses the dynamical consequences of heterogeneous temporal delays within a quorum sensing-inspired (QS-inspired) system, specifically addressing the differential response kinetics of two sub-populations to signalling molecules. A nonlinear delay differential equation (DDE) model, predicated upon an activator-inhibitor framework, is formulated to represent the interspecies interactions. Key analytical techniques, including the derivation of the pseudo-characteristic polynomial and …

Behavior Foundation Model: Towards Next-Generation Whole-Body Control System of Humanoid Robots
Mingqi Yuan, Tao Yu, Wenqi Ge, Xiuyong Yao, Dapeng Li, Huijiang Wang, Jiayu Chen, Xin Jin, Bo Li, Hua Chen, Wei Zhang, Wenjun Zeng
https://arxiv.org/abs/2506.20487

Behavior Foundation Model: Towards Next-Generation Whole-Body Control System of Humanoid Robots
Humanoid robots are drawing significant attention as versatile platforms for complex motor control, human-robot interaction, and general-purpose physical intelligence. However, achieving efficient whole-body control (WBC) in humanoids remains a fundamental challenge due to sophisticated dynamics, underactuation, and diverse task requirements. While learning-based controllers have shown promise for complex tasks, their reliance on labor-intensive and costly retraining for new scenarios limits re…

Density-dependent transport coefficients in two-dimensional cellular aggregates
Subhadip Chakraborti, Vasily Zaburdaev
https://arxiv.org/abs/2507.19919 https://

Density-dependent transport coefficients in two-dimensional cellular aggregates
The large-scale collective behavior of biological systems can be characterized by macroscopic transport, which arises from the non-equilibrium microscopic interactions among individual constituents. A prominent example is the formation of dynamic aggregates by motile eukaryotic cells or bacteria mediated by active contractile forces. In this work, we develop the two-dimensional fluctuating hydrodynamics theory based on the microscopic dynamics of a model system of aggregation by \textit{Neisser…

Modeling Income Distribution with the Gause-Witt Population Ecology System
Marcelo B. Ribeiro
https://arxiv.org/abs/2506.20881 https://

Modeling Income Distribution with the Gause-Witt Population Ecology System
This paper presents an empirical application of the Gause-Witt model of population ecology and ecosystems to the income distribution competitive dynamics of social classes in economic systems. The Gause-Witt mathematical system of coupled nonlinear first-order ordinary differential equations employed to model population of species sharing the same ecological niche and competing for the same resources was applied to the income data of Brazil. Previous studies using Brazilian income data from 198…

Speeding up thermalization and quantum state preparation through engineered quantum collisions
Sofia Sgroi, Salvatore Lorenzo, Luca Innocenti, Paolo A. Erdman, G. Massimo Palma, Mauro Paternostro
https://arxiv.org/abs/2506.20625

Speeding up thermalization and quantum state preparation through engineered quantum collisions
We realize fast thermalization and state preparation of a single mode cavity field using a collision model-like approach, where a sequence of qubits or three level system ancillae, sequentially interacting with the field, is engineered with a genetic algorithm approach. In contrast to optimal control techniques, there is no time-dependent system Hamiltonian control deployed and, in contrast to reservoir engineering, the engineered full system-environment dynamics is optimized, and the target is…

Revisiting Power System Stabilizers with Increased Inverter-Based Generation: A Case Study
Jovan Krajacic, Keith Moffat, Gustavo Valverde
https://arxiv.org/abs/2506.19357

Revisiting Power System Stabilizers with Increased Inverter-Based Generation: A Case Study
As power systems evolve with increasing production from Inverter-Based Resources (IBRs), their underlying dynamics are undergoing significant changes that can jeopardize system operation, leading to poorly damped oscillations or small-signal rotor angle instability. In this work, we investigate whether Power System Stabilizer (PSS) setting adjustments can effectively restore system stability and provide adequate damping in systems with increased IBR penetration, using the benchmark Kundur Two-A…

System identification of Fokker-Planck equations via transport maps
Saem Han, Krishna Garikipati
https://arxiv.org/abs/2507.15091 https://

System identification of Fokker-Planck equations via transport maps
We develop a framework that simultaneously reconstructs system dynamics and probability density functions from time-evolving data. Leveraging the Knothe-Rosenblatt rearrangements, we model the transport map from a fixed reference distribution to the target distribution, and derive the velocity fields of the dynamics from the trajectory of transport maps. We further introduce an extension to a Bayesian setting using variational inference through the evidence lower bound (ELBO) which enables unce…

Stochastically Structured Reservoir Computers for Financial and Economic System Identification
Lendy Banegas, Fredy Vides
https://arxiv.org/abs/2507.17115 https://

Stochastically Structured Reservoir Computers for Financial and Economic System Identification
This paper introduces a methodology for identifying and simulating financial and economic systems using stochastically structured reservoir computers (SSRCs). The proposed framework leverages structure-preserving embeddings and graph-informed coupling matrices to model inter-agent dynamics with enhanced interpretability. A constrained optimization scheme ensures that the learned models satisfy both stochastic and structural constraints. Two empirical case studies, a dynamic behavioral model of …

Relationship between Structure and Dynamics of an Icosahedral Quasicrystal using Unsupervised Machine Learning
Edwin A. Bedolla-Montiel, Susana Mar\'in-Aguilar, Marjolein Dijkstra
https://arxiv.org/abs/2507.15731

Relationship between Structure and Dynamics of an Icosahedral Quasicrystal using Unsupervised Machine Learning
We present a comprehensive study of the structure, formation, and dynamics of a one-component model system that self-assembles into an icosahedral quasicrystal (IQC). Using molecular dynamics simulations combined with unsupervised machine learning techniques, we identify and characterize the unique structural motifs of IQCs, including icosahedral and dodecahedral arrangements, and quantify the evolution of local environments during the IQC formation process. Our analysis reveals that the format…

Non-equilibrium Dynamics of Three-Level Absorption Refrigerator at Third-Order Liouvillian Exceptional Points
Jingyi Gao, Naomichi Hatano
https://arxiv.org/abs/2507.18261 https:…

Non-equilibrium Dynamics of Three-Level Absorption Refrigerator at Third-Order Liouvillian Exceptional Points
We analyze the influence of Liouvillian exceptional points (LEPs) in the three-level quantum absorption refrigerator, putting emphasis on the non-equilibrium process before the convergence to the steady state. We search for the second-order and third-order LEPs in the system with two types of couplings. Focusing on the third-order LEPs, we analyze the damping of the system state in the long term analytically and numerically. In addition, we analyze the damping of heat currents and the influence…

Kaluza-Klein inspired a model of the inflation with the inversed power law potential in Bianchi type-I universe
Jaturaporn Wattanakumpolkij, Patinya Ma-ardlerd, Natthason Autthisin, Pornpatara Chuvala, Nutthaphat Lunrasri, Chakrit Pongkitivanichkul, Daris Samart
https://arxiv.org/abs/2506.16139

Kaluza-Klein inspired a model of the inflation with the inversed power law potential in Bianchi type-I universe
This work considers the dynamics of the gauge vector and inflaton (dilaton) fields inspired by Kaluza-Klein theory in an inflationary universe with Bianchi type-I spacetime. The inverse power-law potential of the inflaton field is used to study dynamical system analysis. As a result, all fixed points in the autonomous system are non-hyperbolic fixed points, and one cannot determine their stability. Therefore, a center manifold theory is required to analyze the stability of the dynamical system …

Discovering the dynamics of \emph{Sargassum} rafts' centers of mass
Francisco J. Beron-Vera, Gage Bonner
https://arxiv.org/abs/2507.18771 https://arxiv…

Discovering the dynamics of \emph{Sargassum} rafts' centers of mass
Since 2011, rafts of floating \emph{Sargassum} seaweed have frequently obstructed the coasts of the Intra-Americas Seas. The motion of the rafts is represented by a high-dimensional nonlinear dynamical system. Referred to as the eBOMB model, this builds on the Maxey--Riley equation by incorporating interactions between clumps of \emph{Sargassum} forming a raft and the effects of Earth's rotation. The absence of a predictive law for the rafts' centers of mass suggests a need for machine learning…

Zero Temperature Dynamics of Ising Systems on Hypercubes
Ruixin Chen, Jonathan Machta, Charles M. Newman, Daniel L. Stein
https://arxiv.org/abs/2506.19949 …

Zero Temperature Dynamics of Ising Systems on Hypercubes
We study the zero-temperature Glauber dynamics of homogeneous Ising ferromagnets on hypercubes, as their dimension d varies. We investigate the asymptotic (d goes to infinity and time t goes to infinity) behavior of various quantities on hypercubes, such as the final magnetization, the probability for the system to enter a ground state, etc. Our numerical studies are carried out using a uniformly random initial state but with the constraint that the initial magnetization is zero. The final stat…

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data
Aviral Prakash, Ben S. Southworth, Marc L. Klasky
https://arxiv.org/abs/2506.18855

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data
Multi-query applications such as parameter estimation, uncertainty quantification and design optimization for parameterized PDE systems are expensive due to the high computational cost of high-fidelity simulations. Reduced/Latent state dynamics approaches for parameterized PDEs offer a viable method where high-fidelity data and machine learning techniques are used to reduce the system's dimensionality and estimate the dynamics of low-dimensional reduced states. These reduced state dynamics appr…

Enstrophy dynamics for flow past a solid body with no-slip boundary condition
Aleksei Gorshkov
https://arxiv.org/abs/2506.15317 https://

Enstrophy dynamics for flow past a solid body with no-slip boundary condition
In the paper we study the impact of the boundary vorticity distribution on the dynamics of enstrophy for flows around streamlined body. A new energy identity is derived in the article, which includes the boundary values of the vortex function. For the Stokes system the dissipativity of enstrophy is proved. For the Navier-Stokes system a new equation of the enstrophy dynamics is obtained.

A note on the boundary dynamics of holomorphic iterated function systems
Argyrios Christodoulou
https://arxiv.org/abs/2507.16358 https://

A note on the boundary dynamics of holomorphic iterated function systems
We consider the boundary dynamics of iterated function systems of holomorphic self-maps of the unit disc. Our main result provides a sufficient condition which guarantees that the dynamical behaviour of a left iterated function system in the interior of the unit disc can be extended to the boundary. This generalises an extension of the classical Denjoy--Wolff Theorem, due to Bourdon, Matache and Shapiro, to the setting of iterated function systems. To do so we modify estimates for the Hardy nor…

Revisiting the Effect of Grid-Following Converter on Frequency Dynamics -- Part I: Center of Inertia
Jiahao Liu, Cheng Wang, Tianshu Bi
https://arxiv.org/abs/2507.15358

Revisiting the Effect of Grid-Following Converter on Frequency Dynamics -- Part I: Center of Inertia
Understanding the impact of grid-following (GFL) converters on system frequency dynamics is crucial, from both the center of inertia (COI) and frequency spatial variation perspectives. Part I of this series clarifies the mechanisms by which GFLs influence COI frequency dynamics. A multi-generator model of the power system with GFLs is developed, incorporating the local dynamics of GFLs and their interaction with synchronous generators via virtual tie lines. By aggregating the multi-generator mo…

Static and dynamic properties of a binary, symmetric mixture of ultrasoft particles in the vicinity of criticality
Tanmay Biswas, Gerhard Kahl, Gaurav P. Shrivastav
https://arxiv.org/abs/2507.18321

Static and dynamic properties of a binary, symmetric mixture of ultrasoft particles in the vicinity of criticality
We investigate the static and the dynamic properties of an binary, equimolar, size-symmetric mixture of ultrasoft particles in the vicinity of the critical point of the system. Based on the generalized exponential potential (GEM) of order four for the particle interaction and using extensive molecular dynamics simulations in the canonical ensemble we investigate the above mentioned properties for various scenarios: we consider several super- and subcritical states, we expose the system to rapid…

Symmetry breaking in time-dependent billiards
Anne K\'etri Pasquinelli da Fonseca, Edson Denis Leonel
https://arxiv.org/abs/2505.20488 https://

Symmetry breaking in time-dependent billiards
We investigate symmetry breaking in a time-dependent billiard that undergoes a continuous phase transition when dissipation is introduced. The system presents unlimited velocity, and thus energy growth for the conservative dynamics. When inelastic collisions are introduced between the particle and the boundary, the velocity reaches a plateau after the crossover iteration. The system presents the expected behavior for this type of transition, including scale invariance, critical exponents relate…

Thermodynamically consistent collisional master equation in a low-density gas with internal structure
Michael Gaida, Giulio Gasbarri, Stefan Nimmrichter
https://arxiv.org/abs/2506.21394

Thermodynamically consistent collisional master equation in a low-density gas with internal structure
Quantum thermodynamics with open systems is often based on the quantum optical weak-coupling master equation or on operational repeated interaction models, whereas early works on thermalisation and on decoherence theory were mostly concerned with the kinetics of gas collisions. Here we formulate a master equation for the dynamics of a quantum system under inelastic scattering with a dilute thermal gas in three dimensions, comprised of ancilla particles that also possess internal degrees of free…

Safety Certificate against Latent Variables with Partially Unidentifiable Dynamics
Haoming Jing, Yorie Nakahira
https://arxiv.org/abs/2506.17927 https://…

Safety Certificate against Latent Variables with Partially Unidentifiable Dynamics
Many systems contain latent variables that make their dynamics partially unidentifiable or cause distribution shifts in the observed statistics between offline and online data. However, existing control techniques often assume access to complete dynamics or perfect simulators with fully observable states, which are necessary to verify whether the system remains within a safe set (forward invariance) or safe actions are consistently feasible at all times. To address this limitation, we propose a…

Cooling of an optically levitated nanoparticle via measurement-free coherent feedback
Bruno Melo, Daniel Veldhuizen, Gregoire F. M. Tomassi, Nadine Meyer, Romain Quidant
https://arxiv.org/abs/2506.21341

Cooling of an optically levitated nanoparticle via measurement-free coherent feedback
We demonstrate coherent, measurement-free optical feedback control of a levitated nanoparticle, achieving phonon occupations down to a few hundred phonons. Unlike measurement-based feedback, this all-optical scheme preserves the correlations between mechanical motion and the feedback signal. Adjustment of the feedback phase and delay provides precise and tunable control over the system dynamics. The ultimate cooling performance is currently limited by phase noise, which we analyze within a theo…

Identification and Computation of Slow Manifolds Using the Isostable Coordinate System
Dan Wilson
https://arxiv.org/abs/2507.13997 https://

Identification and Computation of Slow Manifolds Using the Isostable Coordinate System
Koopman analysis can be used to understand the dynamics of a nonlinear dynamical system in terms a linear, but generally infinite dimensional operator. The isostable coordinate system focuses on the slowest decaying principal Koopman eigenmodes. This work leverages the isostable coordinate framework in the identification of slow manifolds for dynamical systems with fixed point attractors, defined as surfaces for which the fastest decaying isostable coordinates are zero. Numerical challenges ass…

Quantum Transport Protected by Acceleration From Nonadiabaticity and Dissipation
Arnab Chakrabarti, Biswarup Ash, Igor Mazets, Xi Chen, Gershon Kurizki
https://arxiv.org/abs/2506.21462

Quantum Transport Protected by Acceleration From Nonadiabaticity and Dissipation
We put forth a hitherto unexplored control strategy that enables high-fidelity fast transport of an unstable quantum wavepacket even in the presence of bath-induced dissipation. The wavepacket, which is confined within any shallow (anharmonic) potential trap is steered in acceleration, so as to maximize the transfer fidelity. This strategy can generally optimize any non-Markovian bath-dressed continuous-variable system dynamics. It can simultaneously cope with wavepacket leakage via non-adiabat…

Decision-Focused Learning for Neural Network-Constrained Optimization: Application to HVAC Management System
Pietro Favaro, Jean-Fran\c{c}ois Toubeau, Fran\c{c}ois Vall\'ee, Yury Dvorkin
https://arxiv.org/abs/2506.19717

Decision-Focused Learning for Neural Network-Constrained Optimization: Application to HVAC Management System
Heating, Ventilation, and Air Conditioning (HVAC) is a major electricity end-use with a substantial potential for grid services such as demand response. Harnessing this flexibility requires accurate modeling of the thermal dynamics of buildings, which is challenging due to their nonlinear and repetitive behavior (e.g., daily pattern), which reduce the value of historical data. To address this issue, this paper presents an HVAC management system formulated as a Mixed Integer Quadratic Program (M…

Revisiting boundary-driven method for transport: Finite-size effects and the role of system-bath coupling
Mariel Kempa, Markus Kraft, Sourav Nandy, Jacek Herbrych, Jiaozi Wang, Jochen Gemmer, Robin Steinigeweg
https://arxiv.org/abs/2507.16528

Revisiting boundary-driven method for transport: Finite-size effects and the role of system-bath coupling
Understanding transport in interacting quantum many-body systems is a central challenge in condensed matter and statistical physics. Numerical studies typically rely on two main approaches: Dynamics of linear-response functions in closed systems and Markovian dynamics governed by master equations for boundary-driven open systems. While the equivalence of their dynamical behavior has been explored in recent studies, a systematic comparison of the transport coefficients obtained from these two cl…

Noise-Tolerant Hybrid Approach for Data-Driven Predictive Control
Mahmood Mazare, Hossein Ramezani
https://arxiv.org/abs/2506.20780 https://

Noise-Tolerant Hybrid Approach for Data-Driven Predictive Control
This paper focuses on a key challenge in hybrid data-driven predictive control: the effect of measurement noise on Hankel matrices. While noise is handled in direct and indirect methods, hybrid approaches often overlook its impact during trajectory estimation. We propose a Noise-Tolerant Data-Driven Predictive Control (NTDPC) framework that integrates singular value decomposition to separate system dynamics from noise within reduced-order Hankel matrices. This enables accurate prediction with s…

Entanglement structure for finite system under dual-unitary dynamics
Gaurav Rudra Malik, Rohit Kumar Shukla, Sudhanva Joshi, S. Aravinda, Sunil Kumar Mishra
https://arxiv.org/abs/2506.09904

Entanglement structure for finite system under dual-unitary dynamics
The dynamics of quantum many-body systems in the chaotic regime are of particular interest due to the associated phenomena of information scrambling and entanglement generation within the system. While these systems are typically intractable using traditional numerical methods, an effective framework can be implemented based on dual-unitary circuits which have emerged as a minimal model for maximally chaotic dynamics. In this work, we investigate how individual two-body operators influence the …

Rabi transport and the other finite-size effects in one-dimensional discrete-time topological quantum walk
Andrzej Grudka, Marcin Karczewski, Pawe{\l} Kurzy\'nski, Tomasz P. Polak, Jan W\'ojcik, Antoni Antoni W\'ojcik
https://arxiv.org/abs/2506.19523

Rabi transport and the other finite-size effects in one-dimensional discrete-time topological quantum walk
This paper investigates Rabi transport and finite-size effects in one-dimensional discrete-time topological quantum walks. We demonstrate the emergence of localized states at boundaries between topologically distinct phases and analyze how finite system sizes influence quantum walk dynamics. For finite lattices, we show that topology induces localized and bilocalized states, leading to Rabi-like transport as a result of degeneracy breaking due to finite-size effects. The study bridges the gap b…