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Cluster-modified function projective synchronisation of complex networks with asymmetric coupling

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Abstract

This paper investigates the cluster-modified function projective synchronisation (CMFPS) of a generalised linearly coupled network with asymmetric coupling and nonidentical dynamical nodes. A novel synchronisation scheme is proposed to achieve CMFPS in community networks. We use adaptive control method to derive CMFPS criteria based on Lyapunov stability theory. Each cluster of networks is synchronised with target system by state transformation with scaling function matrix. Numerical simulation results are presented finally to illustrate the effectiveness of this method.

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Acknowledgements

This research is partially supported by the National Nature Science Foundation of China (Grant No. 11402226), the Fundamental Research Funds for the Central Universities, China (No. 2017B17914) and the Preeminent Youth Fund of Zhejiang University of Finance and Economics.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou, 213022, Jiangsu, People’s Republic of China

    Shuguo Wang

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  1. Shuguo Wang
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Correspondence to Shuguo Wang.

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Wang, S. Cluster-modified function projective synchronisation of complex networks with asymmetric coupling. Pramana - J Phys 90, 25 (2018). https://doi.org/10.1007/s12043-017-1517-6

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  • DOI: https://doi.org/10.1007/s12043-017-1517-6

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