Tootfinder

Coherence and Transients in Nonlocally Coupled Dissipative Kicked Rotors
Jin Yan
https://arxiv.org/abs/2506.10828 https://arxiv.org/p…

Coherence and Transients in Nonlocally Coupled Dissipative Kicked Rotors
The dynamics of nonlocally coupled dissipative kicked rotors is rich and complex. In this study, we consider a network of rotors where each interacts equally with a certain range of its neighbors. We focus on the influence of the coupling strength and the coupling range, and show both analytically and numerically the critical transitions in the phase diagram, which include bifurcations of simple spatiotemporal patterns and changes in basin sizes of coherent states with different wavenumbers. We…

Last week, we continued our #ISE2025 lecture on distributional semantics with the introduction of neural language models (NLMs) and compared them to traditional statistical n-gram models.
Benefits of NLMs:
- Capturing Long-Range Dependencies
- Computational and Statistical Tractability
- Improved Generalisation
- Higher Accuracy
@…

Hybrid chaos synchronization between a ring and line topologies
Elman Shahverdiev
https://arxiv.org/abs/2506.05562 https://arxiv.org/…

Hybrid chaos synchronization between a ring and line topologies
Hybrid chaos synchronization between ring-line networks topologies is explored on the example of Ikeda modeling, famous multidisciplinary system. It is established that high quality complete synchronization between constituent lasers is a possibility. Some security implications for the computer network hybrid topology are underlined.

On novel Hamiltonian description of the nonholonomic Suslov problem
A. V. Tsiganov
https://arxiv.org/abs/2505.19594 https://arxiv.org…

On novel Hamiltonian description of the nonholonomic Suslov problem
We present some new Poisson bivectors that are invariants by the flow of the nonholonomic Suslov problem. Two rank four invariant Poisson bivectors have globally defined Casimir functions and, therefore, define cubic Poisson brackets on the five dimensional state space with standard symplectic leaves. For the Suslov gyrostat in the potential field we found rank two Poisson bivectors having only two globally defined Casimir functions and, therefore, we say about formal Hamiltonian description in…

This https://arxiv.org/abs/2411.16699 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Bistability and chaos in the discrete two-gene Andrecut-Kauffman model
We conduct numerical analysis of the 2-dimensional discrete-time gene expression model originally introduced by Andrecut and Kauffman (Phys. Lett. A 367: 281-287, 2007). In contrast to the previous studies, we analyze the dynamics with different reaction rates $α_1$ and $α_2$ for each of the two genes under consideration. We explore bifurcation diagrams for the model with $α_1$ varying in a wide range and $α_2$ fixed. We detect chaotic dynamics by means of the positive maximum Lyapunov expo…

Does the Forced Van der Pol Oscillator Exhibit Irregular Behavior?
Samaira Tibrewal, Soumyajit Seth
https://arxiv.org/abs/2505.22385 https://

Does the Forced Van der Pol Oscillator Exhibit Irregular Behavior?
Nonlinear oscillators are commonly encountered in a wide range of physical and engineering systems, exhibiting rich and complex dynamics. Among these, the Van der Pol oscillator is well known for its self-sustained limit cycle behavior. However, when subjected to external sinusoidal forcing, its dynamics can deviate significantly from this regular behavior. This study explores the emergence of complex dynamical regimes in the sinusoidally forced Van der Pol oscillator, focusing on identifying t…