Chaos synchronization for a class of nonlinear oscillators with fractional order. (English) Zbl 1187.34066

Summary: The chaos synchronization problem of the fractional-order Qi oscillators coupled in a master-slave pattern is examined by applying three different kinds of methods: the nonlinear feedback method, the one-way coupling method and the method based on the state observer. Suitable synchronization conditions are derived by using the Lyapunov stability theory, and most importantly, a sufficient and necessary synchronization condition is presented. Results of numerical simulations validate the effectiveness and applicability of the proposed schemes.


34D06 Synchronization of solutions to ordinary differential equations
34A08 Fractional ordinary differential equations
34H10 Chaos control for problems involving ordinary differential equations
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