Partial synchronization: from symmetry towards stability

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• 作者：Pogromsky ; Alexander ; Santoboni ; Giovanni ; Nijmeijer ; Henk
• 关键词：05.45.X ; 05.45.P ; Synchronization ; Diffusive networks ; Stability
• 刊名：Physica D
• 出版年：2002
• 出版时间：November 15, 2002
• 年：2002
• 卷：172
• 期：1-4
• 页码：65-87
• 全文大小：237 K

文摘

In this paper we study the existence and stability of linear invariant manifolds in a network of coupled identical dynamical systems. Symmetry under permutation of different units of the network is helpful to construct explicit formulae for linear invariant manifolds of the network, in order to classify them, and to examine their stability through Lyapunov’s direct method.