Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

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
Jie Sun1,*, Erik Bollt1,*, Takashi Nishikawa1,*
  • 1: Clarkson University
*Contact email: sunj@clarkson.edu, bolltem@clarkson.edu, tnishikawa@clarkson.edu

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.