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Universal Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters

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  • Baojie Zhang
  • Hongxing Li

Abstract

Universal projective synchronization (UPS) of two chaotic systems is defined. Based on the Lyapunov stability theory, an adaptive control method is derived such that UPS of two different hyperchaotic systems with unknown parameters is realized, which is up to a scaling function matrix and three kinds of reference systems, respectively. Numerical simulations are used to verify the effectiveness of the scheme.

Suggested Citation

  • Baojie Zhang & Hongxing Li, 2014. "Universal Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:549201
    DOI: 10.1155/2014/549201
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    References listed on IDEAS

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    2. Wang, Xingyuan & Wang, Mingjun, 2008. "A hyperchaos generated from Lorenz system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3751-3758.
    3. Du, Hongyue & Zeng, Qingshuang & Wang, Changhong, 2009. "Modified function projective synchronization of chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2399-2404.
    4. 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.
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