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. abstract environment. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.
CITATION STYLE
Sun, J., Bollt, E. M., & Nishikawa, T. (2009). Synchronization stability of coupled near-identical oscillator network. In Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering (Vol. 4 LNICST, pp. 900–911). https://doi.org/10.1007/978-3-642-02466-5_90
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