Research Article
Synchronization Stability of Coupled Near-Identical Oscillator Network
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@INPROCEEDINGS{10.1007/978-3-642-02466-5_90, author={Jie Sun and Erik Bollt and Takashi Nishikawa}, title={Synchronization Stability of Coupled Near-Identical Oscillator Network}, proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1}, proceedings_a={COMPLEX PART 1}, year={2012}, month={5}, keywords={Synchronization Stability Coupled Network Dynamics Near-Identical Oscillators Master Stability Functions}, doi={10.1007/978-3-642-02466-5_90} }- Jie Sun
Erik Bollt
Takashi Nishikawa
Year: 2012
Synchronization Stability of Coupled Near-Identical Oscillator Network
COMPLEX PART 1
Springer
DOI: 10.1007/978-3-642-02466-5_90
Abstract
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. environment.
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