| 用线性稳定性分析研究混合耦合网络的同步态稳定性条件 |
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| 引用本文： | 武瑞馨,张海峰,傅新楚.用线性稳定性分析研究混合耦合网络的同步态稳定性条件[J].上海大学学报(英文版),2007,11(3):245-250. |
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| 作者姓名： | 武瑞馨 张海峰 傅新楚 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics Shanghai University，Shanghai 200072，P. R. China，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 |
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| 基金项目： | 国家自然科学基金;上海市教委资助项目 |
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| 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.
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| 关 键 词： | 线性稳定性分析 混合系统 同步化 混沌 网络 |
| 文章编号： | 10.1007/s11741-007-0311-3 |
| 收稿时间： | 1 June 2005 |
| 修稿时间： | 2005-06-012005-11-30 |
Stability conditions for synchronization of networks with mixed couplings by linear stability analysis |
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| Rui-xin Wu,Hai-feng Zhang,Xin-chu Fu.Stability conditions for synchronization of networks with mixed couplings by linear stability analysis[J].Journal of Shanghai University(English Edition),2007,11(3):245-250. |
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| Authors: | Rui-xin Wu Hai-feng Zhang Xin-chu Fu |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,P.R.China
2. Department of Mathematics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China |
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| Abstract: | 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 coupUngs. 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. |
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| Keywords: | synchronization mixed-system(M-S) local stability emergence of chaos |
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