Synchronization Stability of Coupled Near-Identical Oscillator Network

Details Synchronization Stability of Coupled Near-Identical Oscillator Network Synchronization Stability of Coupled Near-Identical Oscillator Network

2008-10-15

arxiv.org/abs/0810.2775v1

Nonlinear Sciences

Chaotic Dynamics

15 pages, 6 figures

Scientific paper

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.

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