Tootfinder

Enhancing cluster synchronization in phase-lagged multilayer networks
Abhijit Mondal, Pitambar Khanra, Subrata Ghosh, Prosenjit Kundu, Chittaranjan Hens, Pinaki Pal
https://arxiv.org/abs/2508.06502

Enhancing cluster synchronization in phase-lagged multilayer networks
Cluster synchronization in multilayer networks of phase oscillators with phase-lag poses significant challenges due to the destabilizing effects of delayed interactions. Leveraging the Sakaguchi-Kuramoto model, this study addresses these challenges by systematically exploring the role of natural frequency distributions in sustaining cluster synchronization under high phase-lag conditions. We focus on four distributions: uniform (uni-uni), partially degree-correlated (deg-uni, uni-deg), and full…

Commuting integrable maps from a deformed D$_4$ cluster algebra
A. N. W. Hone, W. Kim, T. Mase
https://arxiv.org/abs/2508.05270 https://arxiv.org/pdf/2508.…

Commuting integrable maps from a deformed D$_4$ cluster algebra
In this paper we revisit an integrable map of the plane which we obtained recently as a two-parameter family of deformed mutations in the cluster algebra of type D$_4$. The rational first integral for this map defines an invariant foliation of the plane by level curves, and we explain how this corresponds to a rational elliptic surface of rank 2. This leads us to construct another (independent) integrable map, commuting with the first, such that both maps lift to compositions of mutations in an…

Direct High-Resolution Imaging of Earth-Like Exoplanets
Slava G. Turyshev
https://arxiv.org/abs/2506.20236 https://arxiv.org/pdf/2506…

Direct High-Resolution Imaging of Earth-Like Exoplanets
We have surveyed all conventional methods proposed or conceivable for obtaining resolved images of an Earth-like exoplanet. Generating a 10x10 pixel map of a 1 R_Earth world at 10 pc demands ~0.85 uas angular resolution and photon collection sufficient for SNR >= 5 per "micro-pixel". We derived diffraction-limit and photon-budget requirements for: (1) large single-aperture space telescopes with internal coronagraphs; (2) external starshades; (3) space-based interferometry (nulling and non-nulli…

Development of Thin-Gap GEM-{\mu}RWELL Hybrid Detectors
Kondo Gnanvo, Xinzhan Bai, Brian Kross, Minh Dao, Seung Joon Lee, Nilanga Liyanage, Huong Nguyen, Matt Posik, Nikolai Smirnov, Sourav Tarafdar, Andrew Weisenberger
https://arxiv.org/abs/2506.17735

Development of Thin-Gap GEM-μRWELL Hybrid Detectors
Micro Pattern Gaseous Detectors (MPGDs) are used for tracking in High Energy Physics and Nuclear Physics because of their large area, excellent spatial resolution capabilities and low cost. However, for high energy charged particles impacting at a large angle with respect to the axis perpendicular to detector plane, the spatial resolution degrades significantly because of the long trail of ionization charges produced in clusters all along the track in the drift region of the detector. The long …

Replaced article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- Birational Weyl group actions and q-Painleve equations via mutation combinatorics in cluster alge...
Tetsu Masuda, Naoto Okubo, Teruhisa Tsuda

Analysis of the Chaotic Itinerancy Phenomenon using Entropy and Clustering
Nikodem Mierski, Pawe{\l} Pilarczyk
https://arxiv.org/abs/2507.22643 https://arx…

Analysis of the Chaotic Itinerancy Phenomenon using Entropy and Clustering
We introduce a new methodology for the analysis of the phenomenon of chaotic itinerancy in a dynamical system using the notion of entropy and a clustering algorithm. We determine systems likely to experience chaotic itinerancy by means of local Shannon entropy and local permutation entropy. In such systems, we find quasi-stable states (attractor ruins) and chaotic transition states using a density-based clustering algorithm. Our approach then focuses on examining the chaotic itinerancy dynamics…

Collective oscillations in the finite-size Kuramoto model below the critical coupling: shot-noise approach
Sergei Kirillov, Vladimir Klinshov
https://arxiv.org/abs/2506.22160

Collective oscillations in the finite-size Kuramoto model below the critical coupling: shot-noise approach
The Kuramoto model, a paradigmatic framework for studying synchronization, exhibits a transition to collective oscillations only above a critical coupling strength in the thermodynamic limit. However, real-world systems are finite, and their dynamics can deviate significantly from mean-field predictions. Here, we investigate finite-size effects in the Kuramoto model below the critical coupling, where the infinite-size theory predicts complete asynchrony. Using a shot-noise approach, we derive a…

On vector Schwarz-KdV equation
M. Balakhev, V. Sokolov
https://arxiv.org/abs/2509.03155 https://arxiv.org/pdf/2509.03155

On vector Schwarz-KdV equation
A collection of miscellaneous continuous, semi-discrete, and discrete integrable systems can be associated with each integrable evolution equation of the KdV type. We give them for the Schwarz-KdV equation and generalize to the vector case. The existence of these vector generalizations is a non-trivial experimental fact, any mathematical explanation of which is not yet known.

Statistical closures from the Martin-Siggia and Rose approach to turbulence
Esteban Calzetta
https://arxiv.org/abs/2509.03523 https://arxiv.org/pdf/2509.03…

Statistical closures from the Martin-Siggia and Rose approach to turbulence
The goal of this paper is to study the statistical closures suggested by the Martin-Siggia and Rose approach to statistical turbulence. We find that the formalism leads to a Bethe-Salpeter equation for the three point correlation of the velocity field. In the leading order approximation this equation becomes an explicit expression, which reproduces the closure found in W D McComb and S R Yoffe, A formal derivation of the local energy transfer (LET) theory of homogeneous turbulence, J. Phys. A: …

Rotational Symmetry-Breaking effects in the Kuramoto model
Antonio Mihara, Rene O. Medrano-T
https://arxiv.org/abs/2509.04157 https://arxiv.org/pdf/2509.04…

Rotational Symmetry-Breaking effects in the Kuramoto model
We study the bifurcations and phase diagram for a network of identical Kuramoto oscillators with a coupling that explicitly breaks the rotational symmetry of the equations. Applying the Watanabe-Strogatz ansatz, the original N-dimensional dynamics of the network collapses to a system of dimension two. Our analytical exploration uncovers bifurcation mechanisms, including transcritical, saddle-node, heteroclinic, Hopf, and Bogdanov-Takens bifurcations, that dictate transitions between collective …