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Projective and lag synchronization between general complex networks via impulsive control

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Abstract

This paper mainly investigates the projective and lag synchronization between general complex networks via impulsive control. A general drive complex network and an impulsively controlled slave network are presented in the model. Specially, the coupling matrix in this model is not assumed to be symmetric, diffusive or irreducible. Some criteria and corollaries are, respectively, derived for the projective synchronization and lag synchronization between the presented impulsively controlled complex networks. Finally, the results are illustrated by complex networks composed of the chaotic Lorenz systems. All the numerical simulations verify the correctness of the theoretical results.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Wuhan Textile University, Wuhan, 430073, China

    Qunjiao Zhang & Junchan Zhao

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  1. Qunjiao Zhang
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  2. Junchan Zhao
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Correspondence to Qunjiao Zhang.

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Zhang, Q., Zhao, J. Projective and lag synchronization between general complex networks via impulsive control. Nonlinear Dyn 67, 2519–2525 (2012). https://doi.org/10.1007/s11071-011-0164-6

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  • DOI: https://doi.org/10.1007/s11071-011-0164-6

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