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When a dynamical system contains several different modes of oscillations it may behave in a variety of ways: If the modes oscillate at their own individual frequencies, it exhibits quasiperiodic behavior; when the modes lock to one another…

混沌动力学 · 物理学 2012-01-04 Mogens H. Jensen , Leo P. Kadanoff

We consider synchronization of coupled chaotic systems and propose an adaptive strategy that aims at evolving the strength of the coupling to achieve stability of the synchronized evolution. We test this idea in a simple configuration in…

其他凝聚态物理 · 物理学 2015-05-14 Francesco Sorrentino

Synchronization is studied in an array of identical linear oscillators of arbitrary order, coupled through a dynamic network comprising dissipative connectors (e.g., dampers) and restorative connectors (e.g., springs). The coupling network…

动力系统 · 数学 2019-06-21 S. Emre Tuna

We show that the synchronized states of two systems of identical chaotic maps subject to either, a common drive that acts with a probability p in time or to the same drive acting on a fraction p of the maps, are similar. The synchronization…

混沌动力学 · 物理学 2015-05-13 O. Alvarez-Llamoza , M. G. Cosenza

Synchronization is a ubiquitous phenomenon in nature and we propose its new perspective in ultrafast dynamics in interacting electron systems. In particular, using graphene irradiated by an intense bi-circular pulse laser as a prototypical…

强关联电子 · 物理学 2019-10-02 Tanay Nag , Robert-Jan Slager , Takuya Higuchi , Takashi Oka

The dynamics of three mutually coupled cortical neurons with time delays in the coupling are explored numerically and analytically. The neurons are coupled in a line, with the middle neuron sending a somewhat stronger projection to the…

混沌动力学 · 物理学 2011-01-25 Alexandra S. Landsman , Ira B. Schwartz

Synchronization is the spontaneous alignment of the dynamics of weakly-coupled oscillators. In addition to temporal dynamics like periodic and chaotic oscillations, also the spatio-temporal dynamics of spatially-extended systems like…

光学 · 物理学 2026-03-11 Jules Mercadier , Stefan Bittner , Marc Sciamanna

Two types of synchronization, Achronal Synchronization and Isochronous synchronization are investigated numerically when unidirectionally coupled laser systems are considered both on fast and slow dynamics by studying the correlation…

混沌动力学 · 物理学 2009-11-11 Liang Wu , Shiqun Zhu , Juan Li

Synchronization dynamics of mutually coupled chaotic semiconductor lasers are investigated experimentally and compared to identical synchronization of unidirectionally coupled lasers. Mutual coupling shows high quality synchronization in a…

混沌动力学 · 物理学 2009-11-11 Noam Gross , Wolfgang Kinzel , Ido Kanter , Michael Rosenbluh , Lev Khaykovich

We study the dynamical behavior of an ensemble of oscillators interacting through short range bidirectional pulses. The geometry is 1D with periodic boundary conditions. Our interest is twofold. To explore the conditions required to reach…

统计力学 · 物理学 2015-06-25 A. Diaz-Guilera , C. J. Perez-Vicente , A. Arenas

We explore the behaviour of chaotic oscillators in hierarchical networks coupled to an external chaotic system whose intrinsic dynamics is dissimilar to the other oscillators in the network. Specifically, each oscillator couples to the…

混沌动力学 · 物理学 2019-05-22 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

In this work, we investigate the synchronization in oscillators with conjugate coupling in which oscillators interact via dissimilar variables. The synchronous dynamics and its stability are investigated theoretically and numerically. We…

混沌动力学 · 物理学 2016-10-05 Wenchen Han , Mei Zhang , Junzhong Yang

Dynamical systems can be coupled in a manner that is designed to drive the resulting dynamics onto a specified lower dimensional submanifold in the phase space of the combined system. On the submanifold, the variables of the two systems…

混沌动力学 · 物理学 2025-12-11 Vishal Juneja , Suresh Kumarasamy , Aryan Patel , Amrita Punnavajhala , Ram Ramaswamy

In past works, various schemes for adaptive synchronization of chaotic systems have been proposed. The stability of such schemes is central to their utilization. As an example addressing this issue, we consider a recently proposed adaptive…

无序系统与神经网络 · 物理学 2015-05-14 Francesco Sorrentino , Gilad Barlev , Adam B. Cohen , Edward Ott

The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the…

chao-dyn · 物理学 2009-10-31 Zhigang Zheng , Gang Hu , Bambi Hu

The collective behavior of the ensembles of coupled nonlinear oscillator is one of the most interesting and important problems in modern nonlinear dynamics. In this paper, we study rotational dynamics, in particular space-time structures,…

混沌动力学 · 物理学 2020-11-03 V. O. Munyaev , D. S. Khorkin , M. I. Bolotov , L. A. Smirnov , G. V. Osipov

Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. Here, we analyse the spontaneous synchronisation dynamics of vibrations assisting energy transfer in a bio-inspired…

量子物理 · 物理学 2020-09-30 Stefan Siwiak-Jaszek , Thao P. Le , Alexandra Olaya-Castro

A rationale is provided for the emergence of synchronization in a system of coupled oscillators in a stick-slip motion. The single oscillator has a limit cycle in a region of the state space for each parameter set beyond the supercritical…

适应与自组织系统 · 物理学 2015-11-17 Nozomi Sugiura , Takane Hori , Yoji Kawamura

In this paper we consider three different synchronization problems consisting in designing a nonlinear feedback unidirectional coupling term for two (possibly chaotic) dynamical systems in order to drive the trajectories of one of them, the…

经典分析与常微分方程 · 数学 2007-10-02 O. Makarenkov , P. Nistri , D. Papini

The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits…

混沌动力学 · 物理学 2009-11-11 Bin Ao , Zhigang Zheng