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Synchronization of Chen’s Attractor and Lorenz Chaotic Systems by Nonlinear Coupling Function

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Intelligent Computing Theory (ICIC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 8588))

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Abstract

The chaotic synchronizations of Chen’s attractor and Lorenz chaotic systems linked by the difference of the nonlinear coupling function of the two systems are discussed. The method is an expansion of SC method (the method of chaotic synchronization based on the stability criterion). The special nonlinear-coupled functions are constructed by suitable separation between the linear term and the nonlinear term of chaotic systems. The state variable of the response system can be synchronized easily and completely onto that of the driver system without calculation of the maximum conditional Lyapunov exponent when the coupling strength is taken as constant one, and the zero point of synchronization error is asymptotically stable. The proposed method is effective for chaotic synchronization of Chen’s and Lorenz system by numerical simulations.

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Authors and Affiliations

  1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

    Hongjie Yu & Hui Qian

Authors
  1. Hongjie Yu
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  2. Hui Qian
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Editor information

Editors and Affiliations

  1. School of Electronics and Information Engineering, Tongji University, 4800 Caoan Road, 201804, Shanghai, China

    De-Shuang Huang

  2. Electrical and Electronics Department, Politecnico of Bari, Via Orabona, 4,, 70125, Bari, Italy

    Vitoantonio Bevilacqua

  3. School of Electrical, Computer and Telecommunications Engineering, University of Wollongon, 2522, North Wollongon, NSW, Australia

    Prashan Premaratne

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Yu, H., Qian, H. (2014). Synchronization of Chen’s Attractor and Lorenz Chaotic Systems by Nonlinear Coupling Function. In: Huang, DS., Bevilacqua, V., Premaratne, P. (eds) Intelligent Computing Theory. ICIC 2014. Lecture Notes in Computer Science, vol 8588. Springer, Cham. https://doi.org/10.1007/978-3-319-09333-8_59

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  • DOI: https://doi.org/10.1007/978-3-319-09333-8_59

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09332-1

  • Online ISBN: 978-3-319-09333-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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