Synchronization of coupled chaotic maps

PHYSICA D-NONLINEAR PHENOMENA

卷:304

Article

Medvedev, Georgi S.¹  Tang, Xuezhi¹ 

[1] Drexel Univ, Dept Math, Philadelphia, PA 19104 USA

关键词: Synchronization;    Chaos;    Cayley graph;    Quasirandom graph;    Power-law graph;    Expander;   

DOI  :  10.1016/j.physd.2015.05.002

来源: Elsevier

【 摘 要 】

We prove a sufficient condition for synchronization for coupled one-dimensional maps and estimate the size of the window of parameters where synchronization takes place. It is shown that coupled systems on graphs with positive eigenvalues of the normalized graph Laplacian concentrated around 1 are more amenable for synchronization. In the light of this condition, we review spectral properties of Cayley, quasirandom, power-law graphs, and expanders and relate them to synchronization of the corresponding networks. The analysis of synchronization on these graphs is illustrated with numerical experiments. The results of this paper highlight the advantages of random connectivity for synchronization of coupled chaotic dynamical systems. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free