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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.
MSC:
34D06Synchronization
34A08Fractional differential equations
34H10Chaos control (ODE)