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Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order

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  • Yi Chai
  • Liping Chen
  • Ranchao Wu

Abstract

This paper mainly investigates a novel inverse projective synchronization between two different fractional‐order hyperchaotic systems, that is, the fractional‐order hyperchaotic Lorenz system and the fractional‐order hyperchaotic Chen system. By using the stability theory of fractional‐order differential equations and Lyapunov equations for fractional‐order systems, two kinds of suitable controllers for achieving inverse projective synchronization are designed, in which the generalized synchronization, antisynchronization, and projective synchronization of fractional‐order hyperchaotic Lorenz system and fractional‐order hyperchaotic Chen system are also successfully achieved, respectively. Finally, simulations are presented to demonstrate the validity and feasibility of the proposed method.

Suggested Citation

  • Yi Chai & Liping Chen & Ranchao Wu, 2012. "Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:762807
    DOI: 10.1155/2012/762807
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    References listed on IDEAS

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