Stability conditions for synchronization of networks with mixed couplings by linear stability analysis
This paper studies some special networks structured with self-organized and driven behavior that coexist in a cluster,moreover,the clusters have dominant intra-cluster and inter-cluster couplings.It is called mixed-system(M-S)here.For this study linear stability analysis was used,and stability conditions for the synchronized state were determined.For the coupling function g(x),the stability state of the network was discussed in two different cases:the linear case with g(x)=x and the nonlinear case with g(x)=f(x).Furthermore,the condition for the emergence of chaos in the networks was given.
synchronizationmixed-system(M-S)local stabilityemergence of chaos
武瑞馨、张海峰、傅新楚
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Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,P.R.China
Department of Mathematics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China
synchronization mixed-system(M-S) local stability emergence of chaos
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