摘要
This paper studies some special networks structured with serf-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.
This paper studies some special networks structured with serf-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.
基金
Project supported by the National Natural Science Foundation of China （Grant No.10471087）, and the Science Foundation of Shanghai Municipal Commission of Education （Grant No.03AK33）
