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Impulsive complex projective synchronization in drive–response complex coupled dynamical networks

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Abstract

This paper investigates the problem of impulsive complex projective synchronization for drive–response complex-variable dynamical networks with complex coupling, and the dynamical networks with and without delayed complex-variable system nodes are considered. According to the stability analysis of the complex-variable impulsive functional differential equation, the sufficient conditions for achieving complex projective synchronization of drive–response network with complex inner and outer couplings are obtained by taking advantage of the Lyapunov function in the complex fields. In addition, the adaptive coupling strength methods are adopted to achieve the complex projective synchronization. Numerical examples are finally presented to illustrate the effectiveness and correctness of the theoretical results.

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Acknowledgments

This work was jointly supported by the National Science Foundation of China (Grant Nos. 11102076, 11202180, 11202085 and 11402226), the Society Science Foundation from Ministry of Education of China (Grant No. 12YJAZH002) and the Foundation of Zhejiang Provincial Education Department (Grant No. Y201328316).

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Authors and Affiliations

  1. Institute of Applied Mathematics, Zhejiang University of Finance and Economics, Hangzhou, 310018, Zhejiang, People’s Republic of China

    Song Zheng

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  1. Song Zheng
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Correspondence to Song Zheng.

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Zheng, S. Impulsive complex projective synchronization in drive–response complex coupled dynamical networks. Nonlinear Dyn 79, 147–161 (2015). https://doi.org/10.1007/s11071-014-1652-2

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