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

  • Peng Li
  • Baiyang Li
  • Jun Mou
  • Chunfeng Luo
Article
  • 79 Downloads

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.

Keywords

Chaotic synchronization Complex network Single variable Signal superposition Dynamics analysis The 0–1 test SE complexity algorithm and C0 complexity algorithm 

Notes

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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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Information Science and EngineeringDalian Polytechnic UniversityDalianPeople’s Republic of China

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