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The function cascade synchronization scheme for discrete-time hyperchaotic systems. (English) Zbl 1221.34119
Summary: The function cascade synchronization scheme is proposed to investigate discrete-time hyperchaotic systems. By choosing some different error functions and with the aid of symbolic-numeric computation, the proposed scheme is applied to achieve the function cascade synchronization for two discrete-time hyperchaotic systems: the generalized Hénon map and the discrete-time Rössler system, respectively. Numerical simulations are used to verify the effectiveness and feasibility of the proposed technique.
MSC:
34C28Complex behavior, chaotic systems (ODE)
37D45Strange attractors, chaotic dynamics
39A30Stability theory (difference equations)
34H10Chaos control (ODE)
93D15Stabilization of systems by feedback