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We consider the evolution of the unstable periodic orbit structure of coupled chaotic systems. This involves the creation of a complicated set outside of the synchronization manifold (the emergent set). We quantitatively identify a critical…

chao-dyn · 物理学 2009-10-31 E. Barreto , P. So , B. J. Gluckman , S. J. Schiff

One of the principal goals of controlling classical chaotic dynamical systems is known as targeting, which is the very weakly perturbative process of using the system's extreme sensitivity to initial conditions in order to arrive at a…

混沌动力学 · 物理学 2023-01-25 Steven Tomsovic , Juan Diego Urbina , Klaus Richter

Large ensembles of globally coupled chaotic neural networks undergo a transition to complete synchronization for high coupling intensities. The onset of this fully coherent behavior is preceded by a regime where clusters of networks with…

adap-org · 物理学 2008-02-03 D. H. Zanette , A. S. Mikhailov

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

混沌动力学 · 物理学 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

This report aims to study adaptive synchronization between a general class of hyperchaotic complex-valued systems with unknown parameters, which is motivated by extensive application areas of this topic in nonlinear sciences (e.g., secure…

动力系统 · 数学 2021-10-27 A. A. -H. Shoreh , N. V. Kuznetsov , T. N. Mokaev

Small networks of chaotic units which are coupled by their time-delayed variables, are investigated. In spite of the time delay, the units can synchronize isochronally, i.e. without time shift. Moreover, networks can not only synchronize…

混沌动力学 · 物理学 2009-11-13 Johannes Kestler , Evi Kopelowitz , Ido Kanter , Wolfgang Kinzel

We analyze the synchronization transition for a pair of coupled identical Kauffman networks in the chaotic phase. The annealed model for Kauffman networks shows that synchronization appears through a transcritical bifurcation, and provides…

适应与自组织系统 · 物理学 2009-10-31 Luis G. Morelli , Damian H. Zanette

This paper deals with two types of synchronous behavior of chaotic oscillators -- generalized synchronization and noise--induced synchronization. It has been shown that both these types of synchronization are caused by similar mechanisms…

混沌动力学 · 物理学 2007-05-23 A. E. Hramov , A. A. Koronovskii , O. I. Moskalenko

Chaotic systems can be synchronized by linking them to a common signal, subject to certain conditions. However, the presence of multiple driving signals coming from different systems, give rise to novel behavior. The particular case of…

chao-dyn · 物理学 2007-05-23 Sitabhra Sinha

Given two unidirectionally coupled nonlinear systems, we speak of generalized synchronization when the responder \textquotedblleft follows\textquotedblright\ the driver. Mathematically, this situation is implemented by a map from the driver…

混沌动力学 · 物理学 2025-02-13 José M. Amigó , Roberto Dale , Juan C. King , Klaus Lehnertz

The study of synchronization of coupled systems is currently undergoing a major surge fueled by recent discoveries of new forms of collective dynamics and the development of techniques to characterize a myriad of new patterns of network…

无序系统与神经网络 · 物理学 2016-10-05 Daniel M. Abrams , Louis M. Pecora , Adilson E. Motter

We present and experimentally demonstrate a technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying. At each…

The phenomenon of spontaneous synchronization is universal and only recently advances have been made in the quantum domain. Being synchronization a kind of temporal correlation among systems, it is interesting to understand its connection…

量子物理 · 物理学 2018-02-13 Fernando Galve , Gian Luca Giorgi , Roberta Zambrini

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

适应与自组织系统 · 物理学 2022-05-11 Sergei A. Plotnikov

In this paper, we propose the frameworks of generalized performance evaluation and generalized controller synthesis. To this end, we give a true concurrent process calculus as the model of systems, and present a lattice-valued performance…

计算机科学中的逻辑 · 计算机科学 2026-05-19 Zining Cao

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can…

适应与自组织系统 · 物理学 2021-06-02 Zachary G. Nicolaou , Michael Sebek , Istvan Z. Kiss , Adilson E. Motter

We study the regime of anticipated synchronization recently described on a number of dynamical systems including chaotic and noisy ones. We use simple linear caricatures to show the minimal setups able to reproduce the basic facts…

凝聚态物理 · 物理学 2007-09-27 Oscar Calvo , Dante R. Chialvo , Victor M. Eguiluz , Claudio Mirasso , Raul Toral

Synchronization of spatiotemporally chaotic extended systems is considered in the context of coupled one-dimensional Complex Ginzburg-Landau equations (CGLE). A regime of coupled spatiotemporal intermittency (STI) is identified and…

chao-dyn · 物理学 2009-10-28 A. Amengual , E. Hernandez-Garcia , R. Montagne , M. San Miguel

We investigate the synchronization dynamics in a chain of coupled chaotic maps organized in a single-parent family tree, whose properties can be captured considering each parent node connected to two children, one of which also serves as…

混沌动力学 · 物理学 2025-11-13 Franco Bagnoli , Michele Baia , Tommaso Matteuzzi , Arkady Pikovsky

In this paper we investigate dual synchronization and dual-cross synchronization between the transmitter and receiver, each one consisting of two master and slave systems. These findings are considered to be of interest in multichannel…

混沌动力学 · 物理学 2007-05-23 E. M. Shahverdiev , K. A. Shore