Generalized projective synchronization of two coupled complex networks with different sizes

doi:10.1088/1674-1056/22/7/070504

Abstract We investigate a new generalized projective synchronization (GPS) between two complex dynamical networks of different sizes. To the best of our knowledge, most current studies on the projective synchronization have dealt with coupled networks with the same size. By generalized projective synchronization, we mean that the states of nodes in each network can realize complete synchronization, and the states of pair nodes from both networks can achieve projective synchronization. By using the stability theory of dynamical system, several sufficient conditions for guaranteeing the existence of the generalized projective synchronization under feedback control and adaptive control are obtained. As an example, we use Chua's circuits to demonstrate the effectiveness of our proposed approach.

Keywords: complex network projective synchronization adaptive control

Received: 27 November 2012
Revised: 02 February 2013
Published: 01 June 2013

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)
	89.75.Hc	(Networks and genealogical trees)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61004101, 11161013, and 61164020) and the Natural Science Foundation of Guangxi Province, China (Grant Nos. 2011GXNSFB018059, 2011GXNSFA018136, and 2011GXNSFA018134).

Corresponding Authors: Li Ke-Zan
E-mail: lkzzr@guet.edu.cn

Cite this article:

Li Ke-Zan, He En, Zeng Zhao-Rong, Chi K. Tse Generalized projective synchronization of two coupled complex networks with different sizes 2013 Chin. Phys. B 22 070504

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