Generalized projective synchronization of two coupled complex networks of different sizes  

作　　者：李科赞 何恩 曾朝蓉 谢智刚 

机构地区：[1]School of Mathematics and Computing Science,Guilin University of Electronic Technology [2]School of Business,Guilin University of Electronic Technology [3]Department of Electronic and Information Engineering,The Hong Kong Polytechnic University

出　　处：《Chinese Physics B》2013年第7期89-95,共7页中国物理B（英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos.61004101,11161013,and 61164020);the Natural Science Foundation of Guangxi Province,China(Grant Nos.2011GXNSFB018059,2011GXNSFA018136,and 2011GXNSFA018134)

摘　　要：We investigate a new generalized projective synchronization between two complex dynamical networks of different sizes. To the best of our knowledge, most of the current studies on projective synchronization have dealt with coupled networks of the same size. By generalized projective synchronization, we mean that the states of the nodes in each network can realize complete synchronization, and the states of a pair of nodes from both networks can achieve projective synchronization. Using the stability theory of the 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.We investigate a new generalized projective synchronization between two complex dynamical networks of different sizes. To the best of our knowledge, most of the current studies on projective synchronization have dealt with coupled networks of the same size. By generalized projective synchronization, we mean that the states of the nodes in each network can realize complete synchronization, and the states of a pair of nodes from both networks can achieve projective synchronization. Using the stability theory of the 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.

关 键 词：complex network projective synchronization adaptive control 

分 类 号：O157.5[理学—数学] O231[理学—基础数学]