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Chaos Synchronization of Complex Network Based on Signal Superposition of Single Variable

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Abstract

Chaos synchronization of complex network with uncertain topological structure and coupling coefficient is used to study. By designing appropriate kinetic equation of network node, the chaos synchronization of the complex network is achieved. The unknown parameters and transported values of all the kinetic equations are identified simultaneously in the process of synchronization. When sets the parameter CT for a specific value, the transported values of complex network node is the superposition of specific parameter of passed node. Lorenz system is taken for example to demonstrate the effectiveness of the presented method for a complex network of arbitrary topological type, and the dynamics analysis of the Lorenz chaotic system is given, the results we get including the Lyapunov exponents spectrum and its corresponding bifurcation diagram, and its corresponding analysis of SE complexity algorithm and C0 complexity algorithm are analysis briefly. In this paper, 0–1 test is given respectively. Discusses the influence of parameters on the synchronization performance. It is found that the synchronization performance of the complex network is very stable.

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Acknowledgements

This paper is supported by Natural Science Foundation of Liaoning, China (2015020031 and 20170540060), Science and Technology Project of Dalian, China (2015A11GX011) and Basic Scientific Research Projects of Colleges and Universities of Liaoning, China (2017J045 and 2017J046).

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Authors and Affiliations

  1. School of Information Science and Engineering, Dalian Polytechnic University, No. 1 QinggongYuan, Ganjingzi Dist., Dalian, Liaoning, People’s Republic of China

    Peng Li, Baiyang Li, Jun Mou & Chunfeng Luo

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  1. Peng Li
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  2. Baiyang Li
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Correspondence to Peng Li.

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Li, P., Li, B., Mou, J. et al. Chaos Synchronization of Complex Network Based on Signal Superposition of Single Variable. Int J Wireless Inf Networks 25, 258–268 (2018). https://doi.org/10.1007/s10776-018-0386-3

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  • DOI: https://doi.org/10.1007/s10776-018-0386-3

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