Chaos synchronization between two different fractional-order hyperchaotic systems. (English) Zbl 1221.37220

Pan, Lin; Zhou, Wuneng; Zhou, Long; Sun, Kehui

Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2628-2640 (2011).

Summary: This work investigates chaos synchronization between two different fractional-order hyperchaotic system (FOHS)s. A novel FOHS is also proposed in this paper. The Chen FOHS is controlled to be a new FOHS and the Lü FOHS, respectively. The analytical conditions for the synchronization of these pairs of different FOHSs are derived by utilizing Laplace transform. Furthermore, synchronization between two different FOHSs is achieved by utilizing feedback control method in a quite short period and both remain in chaotic states. Numerical simulations are used to verify the theoretical analysis using different values of the fractional-order parameter.

MSC:

37N35	Dynamical systems in control
93B52	Feedback control
34H10	Chaos control for problems involving ordinary differential equations
34A08	Fractional ordinary differential equations
34C28	Complex behavior and chaotic systems of ordinary differential equations
34D06	Synchronization of solutions to ordinary differential equations
37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Keywords:

fractional-order hyperchaotic system (FOHS); feedback control; Laplace transform; synchronization; Lü hyperchaotic system

Software:

Sprott's Software

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