Generalized projective synchronization of two chaotic systems by using active control. (English) Zbl 1144.37372

Summary: An active control method is proposed to projective-synchronize two chaotic systems by constructing the response system no matter whether they are identical or not. The proposed technique is applied to achieve generalized projective synchronization for the Lorenz and Chen’s systems, where all state variables are in a proportional way. This property allows us to arbitrarily direct the scaling factor onto a desired value. Feasibility of the proposed control scheme is illustrated through the numerical examples.


37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93D15 Stabilization of systems by feedback
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