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Lag synchronization of Rössler system and Chua circuit via a scalar signal. (English) Zbl 1209.93118

Summary: In this letter, a chaotic lag synchronization scheme is proposed based on combining a nonlinear with lag-in-time observer design. Our approach leads to a systematic methodology, which guarantees the synchronization of a wide class of chaotic systems via a scalar signal. The proposed technique has been applied to synchronize two well-known chaotic systems: Rossler’s system and Chua circuit.

MSC:

93D15 Stabilization of systems by feedback
34K20 Stability theory of functional-differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C23 Control/observation systems governed by functional-differential equations
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