Adaptive synchronization and pinning control of colored networks

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Article number43137
Journal / PublicationChaos
Volume22
Issue number4
Publication statusPublished - 4 Oct 2012

Abstract

A colored network model, corresponding to a colored graph mathematics, is used for describing the complexity of some inter-connected physical systems. A colored network is consisted of colored nodes and edges. Colored nodes may have identical or nonidentical local dynamics. Colored edges between any pair of nodes denote not only the outer coupling topology but also the inner interactions. this paper, first, synchronization of edge-colored networks is studied from adaptive control and pinning control approaches. Then, synchronization of general colored networks is considered. To achieve synchronization of a colored network to an arbitrarily given orbit, open-loop control, pinning control and adaptive coupling strength methods are proposed and tested, with some synchronization criteria derived. Finally, numerical examples are given to illustrate theoretical results. © 2012 American Institute of Physics.

Citation Format(s)

Adaptive synchronization and pinning control of colored networks. / Wu, Zhaoyan; Xu, Xin-Jian; Chen, Guanrong et al.
In: Chaos, Vol. 22, No. 4, 43137, 04.10.2012.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review