Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order

Yi Chai, Liping Chen and Ranchao Wu

Journal of Applied Mathematics, 2012, vol. 2012, 1-18

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:762807

DOI: 10.1155/2012/762807

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