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COMPLEX
2009
Springer

Synchronization Stability of Coupled Near-Identical Oscillator Network

9 years 3 months ago
Synchronization Stability of Coupled Near-Identical Oscillator Network
We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a general fashion, 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. Key words: Synchronization Stability, Coupled Network Dynamics, Near-Identical Oscillators, Master Stability Functions.
Jie Sun, Erik M. Bollt, Takashi Nishikawa
Added 26 May 2010
Updated 26 May 2010
Type Conference
Year 2009
Where COMPLEX
Authors Jie Sun, Erik M. Bollt, Takashi Nishikawa
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