Synchronization Stability of Coupled Near-Identical Oscillator Network

Jie Sun; Erik Bollt; Takashi Nishikawa

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.

Keywords: Synchronization Stability Coupled Network Dynamics Near-Identical Oscillators Master Stability Functions

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02466-5_90