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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, Hindawi, vol. 2014, pages 1-10, March.
    • Handle: RePEc:hin:jnljam:549201
    DOI: 10.1155/2014/549201
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