Inverse projective synchronization between two different hyperchaotic systems with fractional order (Q411088)
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scientific article; zbMATH DE number 6021754
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| English | Inverse projective synchronization between two different hyperchaotic systems with fractional order |
scientific article; zbMATH DE number 6021754 |
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Inverse projective synchronization between two different hyperchaotic systems with fractional order (English)
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4 April 2012
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Summary: 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.
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