Q-functions, synchronization, and Arnold tongues for coupled stochastic oscillators [0.03%]
耦合随机振子的Q函数、同步性及Arnold瓣状图
Max Kreider,Benjamin Lindner,Peter J Thomas
Max Kreider
Phase reduction is an effective theoretical and numerical tool for studying the synchronization of coupled deterministic oscillators. Stochastic oscillators require new definitions of the asymptotic phase. The Q-function, i.e., the slowest ...
Entanglement-related features of hydrogenic systems and other systems described by bound states of two interacting particles [0.03%]
氢原子等两体束缚态相互作用系统的量子纠缠特性研究
Benny Nogales,Sergio Curilef,Ángel Ricardo Plastino
Benny Nogales
This paper delves into entanglement-related features of one-dimensional and three-dimensional systems comprising two particles interacting through an attractive potential, such as the delta, harmonic, and Coulomb ones. As a quantitative ind...
Reservoir computing and multi-scroll attractors: How network topologies shape prediction performance [0.03%]
reservoir computing和多卷吸引子：网络拓扑如何影响预测性能
G Yılmaz Bingöl,E Günay
G Yılmaz Bingöl
Multi-scroll attractors are complex chaotic systems with high-dimensional nonlinear dynamics, making their modeling and prediction a challenging task. While reservoir computing (RC) has been successfully applied to various chaotic time-seri...
Locality blended next-generation reservoir computing for attention accuracy [0.03%]
局部性混合下一代水库计算法提高注意准确性
Daniel J Gauthier,Andrew Pomerance,Erik Bollt
Daniel J Gauthier
We extend an advanced variation of a machine learning algorithm, next-generation reservoir computing (NGRC), to forecast synthetic data generated by the Ikeda map, which is a model of a nonlinear optical cavity with an injected laser beam. ...
Semi-tensor product based long-run behavior estimation of generalized asynchronous Boolean networks with time delays [0.03%]
基于半张量积的广义异步布尔网络的时间延迟长期行为估计方法研究
Guowei Li,Chao Luo,Shuang Zhou et al.
Guowei Li et al.
This paper investigates the long-run behavior estimation of generalized asynchronous Boolean networks with time delays, particularly the evolutionary trends of the attractor and its basin. First, the dynamic form of the original network is ...
Switching-induced bifurcation analysis for piecewise nonlinear dynamical systems: A semi-analytical approach [0.03%]
分段非线性动力系统的换档诱发分支分析：一种半解析方法
Kai Jiang,Jianzhe Huang,Xilin Fu
Kai Jiang
In piecewise nonlinear dynamical systems, the flow is governed by different vector fields across discontinuous boundaries. When switching occurs at these boundaries, the governing vector field changes, inevitably causing the steady-state re...
Slow passage through a saddle-node bifurcation in discrete dynamical systems [0.03%]
离散动力系统中慢穿过分岔点的现象
Je-Chiang Tsai,Jay Chu,Jun-Jie Lin
Je-Chiang Tsai
We study a discrete non-autonomous system whose autonomous counterpart (with the frozen bifurcation parameter) admits a saddle-node bifurcation in which the bifurcation parameter slowly changes in time and is characterized by a sweep rate c...
Hybrid control strategy for the Lévy superdiffusion Sel'kov-Schnakenberg model: Formation, conversion, and annihilation of Turing patterns [0.03%]
Levy超扩散Sel'kov-Schnakenberg模型的混合控制策略：Turing图型的形成、转换和湮灭
Peng Zhu,Min Xiao,Tingwen Huang et al.
Peng Zhu et al.
As a typical reaction-diffusion model, the Sel'kov-Schnakenberg model has revealed its self-organization phenomena. However, the existing works have been limited to the consideration of normal self-diffusion, failing to account for interact...
Jin Yan
Jin Yan
We investigate the emergence of complex dynamics in a system of coupled dissipative kicked rotors and show that critical transitions can be understood via bifurcations of simple states. We study multistability and bifurcations in the single...
Kevin O&#x;Keeffe
Kevin O&#x;Keeffe
We study the 1D swarmalator model in the continuum limit. We examine the stability of its collective states, which have compact support: synchrony, where the swarmalators lie in two sync dots (zero dimensional support), and the phase wave, ...