Synchronization of Fractional Hyperchaotic Rabinovich Systems via Linear and Nonlinear Control with an Application to Secure Communications

다국어 초록 (Multilingual Abstract)

This paper proposes two approaches for the synchronization of a fractional hyperchaotic Rabinovich master-slave pair. The first approach introduces a linear control law to synchronize the systems in their ommensurate case, i.e. with a constant fractional-order. The convergence of the proposed scheme is proven by means of an appropriate Lyapunov functional. In the incommensurate scenario, a nonlinear controller is developed basedon our choice of a suitable set of control parameters. Numerical results are presented to illustrate the validity and convergence of the proposed synchronization schemes. In addition, the incommensurate control law is applied to a signal-masking-based secure communication system, whose performance is assessed through simulations.

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