Partial synchronization: from symmetry towards stability

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Abstract

In this paper we study the existence and stability of linearinvariant manifolds in a network of coupled identical dynamicalsystems. Symmetry under permutation of different units of thenetwork is helpful to construct explicit formulae for linearinvariant manifolds of the network, in order to classify them, andto examine their stability through Lyapunov's direct method.
Original languageEnglish
Pages (from-to)65-87
JournalPhysica D : Nonlinear Phenomena
Volume172
Issue number1-4
DOIs
Publication statusPublished - 2002

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