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Mechanisms of emergence and destruction are analyzed, as well as characteristics of synchronous and asynchronous modes of behavior of ensembles (swarms) of interacting mobile agents moving according to chaotic phase trajectories of Rossler…

混沌动力学 · 物理学 2024-12-09 E. M. Varvarin , G. V. Osipov

We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a…

适应与自组织系统 · 物理学 2012-04-23 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

In this paper we present a general result with an easily checkable condition that ensures a transition from chaotic regime to regular regime in random dynamical systems with additive noise. We show how this result applies to a prototypical…

动力系统 · 数学 2022-11-30 Isaia Nisoli

Understanding the cause of the synchronization of population evolution is an important issue for ecological improvement. Here we present a Lotka-Volterra-type model driven by two correlated environmental noises and show, via theoretical…

其他定量生物学 · 定量生物学 2007-05-23 Wei-Rong Zhong , Yuan-Zhi Shao , Zhen-Hui He , Meng-Jie Bie , Dan Huang

Synchronization is ubiquitous in nature at various scales and fields. This phenomenon not only offers a window into the intrinsic harmony of complex systems, but also serves as a robust probe for many-body quantum systems. One such system…

We study synchronization of non-diffusively coupled map networks with arbitrary network topologies, where the connections between different units are, in general, not symmetric and can carry both positive and negative weights. We show that,…

混沌动力学 · 物理学 2010-02-09 Frank Bauer , Fatihcan M. Atay , Juergen Jost

We explore the behaviour of an ensemble of chaotic oscillators coupled only to an external chaotic system, whose intrinsic dynamics may be similar or dissimilar to the group. Counter-intuitively, we find that a dissimilar external system…

混沌动力学 · 物理学 2017-01-23 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

A new method is introduced for analysis of interactions between time-dependent coupled oscillators, based on the signals they generate. It distinguishes unsynchronized dynamics from noise-induced phase slips, and enables the evolution of…

数据分析、统计与概率 · 物理学 2012-08-09 Tomislav Stankovski , Andrea Duggento , Peter V. E. McClintock , Aneta Stefanovska

In this paper, we report the enhanced stability of induced synchronization by transient uncoupling observed in certain unidirectionally coupled second-order chaotic systems. The stability of synchronization observed in the coupled systems…

混沌动力学 · 物理学 2019-02-25 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

In quantum/wave systems with chaotic classical analogs, wavefunctions evolve in highly complex, yet deterministic ways. A slight perturbation of the system, though, will cause the evolution to diverge from its original behavior increasingly…

混沌动力学 · 物理学 2009-11-07 Nicholas R. Cerruti , Steven Tomsovic

We study the dynamical behaviors of this improved memristive neuron model by changing external harmonic current and the magnetic gain parameters. The model shows rich dynamics including periodic and chaotic spiking and bursting, and…

适应与自组织系统 · 物理学 2020-03-03 Marius E. Yamakou

We study how quantum and thermal noise affects synchronization of two optomechanical limit-cycle oscillators. Classically, in the absence of noise, optomechanical systems tend to synchronize either in-phase or anti-phase. Taking into…

量子物理 · 物理学 2016-01-26 Talitha Weiss , Andreas Kronwald , Florian Marquardt

A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized…

凝聚态物理 · 物理学 2009-10-28 Joe Watson , Daniel S. Fisher

We investigate the spatio-temporal dynamics of coupled chaotic systems with nonlocal interactions, where each element is coupled to its nearest neighbors within a finite range. Depending upon the coupling strength and coupling radius, we…

This paper summarises an investigation of the effects of low amplitude noise and periodic driving on phase space transport in 3-D Hamiltonian systems, a problem directly applicable to systems like galaxies, where such perturbations reflect…

天体物理学 · 物理学 2009-10-31 Henry E. Kandrup , Ilya V. Pogorelov , Ioannis Sideris

This paper deals with the chaotic oscillator synchronization. A new approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by…

混沌动力学 · 物理学 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

We assume that the energy spectrum of a chaotic system undergoing symmetry breaking transitions can be represented as a superposition of independent level sequences, one increasing on the expense of the others. The relation between the…

统计力学 · 物理学 2007-05-23 A. Y. Abul-Magd , M. H. Simbel

The collective motion of dust particles during the mode-coupling induced melting of a two-dimensional plasma crystal is explored in molecular dynamics simulations. The crystal is compressed horizontally by an anisotropic confinement. This…

等离子体物理 · 物理学 2015-07-17 I. Laut , C. Räth , S. Zhdanov , V. Nosenko , L. Couëdel , H. M. Thomas

We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them…

We investigate the phenomenon of chaos synchronization in systems subject to coexisting autonomous and external global fields by employing a simple model of coupled maps. Two states of chaos synchronization are found: (i) complete…

混沌动力学 · 物理学 2022-01-19 O. Alvarez-Llamoza , M. G. Cosenza