Robust synchronization of a class of chaotic networks

S. Čelikovský; V. Lynnyk; G. Chen

doi:10.1016/j.jfranklin.2013.03.019

Robust synchronization of a class of chaotic networks

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Overview

35 Scopus Citations

Scopus Metrics

View graph of relations

Author(s)

S. Čelikovský
V. Lynnyk
G. Chen

Related Research Unit(s)

Department of Electrical Engineering

Detail(s)

Original language	English
Pages (from-to)	2936-2948
Journal / Publication	Journal of the Franklin Institute
Volume	350
Issue number	10
Online published	28 May 2013
Publication status	Published - Dec 2013

Link(s)

DOI	DOI https://doi.org/10.1016/j.jfranklin.2013.03.019 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84887316858&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(ecedc307-dad1-4a03-a81e-343e5457756e).html

Abstract

This paper studies synchronization of a dynamical complex network consisting of nodes being generalized Lorenz chaotic systems and connections created with transmitted synchronizing signals. The focus is on the robustness of the network synchronization with respect to its topology. The robustness is analyzed theoretically for the case of two nodes with two-sided (bidirectional) connections, and numerically for various cases with large numbers of nodes. It is shown that, unless a certain minimal coherent topology is present in the network, synchronization is always preserved. While for a minimal network where synchronization is global, the resulting synchrony reduces to semi-global if redundant connections are added. © 2013 The Franklin Institute.