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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Synchronization Stability of Coupled Near-Identical Oscillator Network
verfasst von : Jie Sun, Erik M. Bollt, Takashi Nishikawa
Erschienen in: Complex Sciences
Verlag: Springer Berlin Heidelberg
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To study the effect of parameter mismatch on the stability in a general fashion, we derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. We define master stability equations and associated master stability functions, which are independent of the network structure. In particular, we present several examples of coupled near-identical Lorenz systems configured in small networks (a ring graph and sequence networks) with a fixed parameter mismatch and a large Barabasi-Albert scale-free network with random parameter mismatch. We find that several different network architectures permit similar results despite various mismatch patterns.
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