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Function Projective Synchronization Between Two Identical Chaotic Systems

Author

Listed:
  • YONG CHEN

    (Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;
    Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China)

  • XIN LI

    (Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;
    Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China)

Abstract

First, a function projective synchronization of two identical systems is defined. Second, based on the active control method and symbolic computationMaple, the scheme of function projective synchronization is developed to synchronize two identical chaotic systems (two identical classic Lorenz systems) up to a scaling function matrix with different initial values. Numerical simulations are used to verify the effectiveness of the scheme.

Suggested Citation

  • Yong Chen & Xin Li, 2007. "Function Projective Synchronization Between Two Identical Chaotic Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 883-888.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:05:n:s0129183107010607
    DOI: 10.1142/S0129183107010607
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    Cited by:

    1. Abdelhameed M. Nagy & Abdellatif Ben Makhlouf & Abdulaziz Alsenafi & Fares Alazemi, 2021. "Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative," Mathematics, MDPI, vol. 9(21), pages 1-14, November.
    2. Wu, Xiang-Jun & Lu, Hong-Tao, 2011. "Adaptive generalized function projective lag synchronization of different chaotic systems with fully uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 802-810.
    3. Wang, Cong & Zhang, Hong-li & Fan, Wen-hui & Ma, Ping, 2020. "Finite-time function projective synchronization control method for chaotic wind power systems," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    4. Sun, Junwei & Guo, Jinchao & Yang, Cunxiang & Zheng, Anping & Zhang, Xuncai, 2015. "Adaptive generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 304-314.
    5. Du, Hongyue, 2011. "Function projective synchronization in drive–response dynamical networks with non-identical nodes," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 510-514.

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