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Projective and lag synchronization of a novel hyperchaotic system via impulsive control. (English) Zbl 1221.93104
Summary: Recently, Q. Yang, K. Zhang and G. Chen [Nonlinear Anal., Real World Appl. 10, No. 3, 1601–1617 (2009; Zbl 1175.37041)] proposed a novel hyperchaotic system. This paper studies the projective and lag synchronization of this novel hyperchaotic system using an impulsive control technique. Some sufficient conditions of projective and lag synchronization of such new system are derived from strict mathematical theories. Numerical examples are worked through for illustrating the main results.
MSC:
93C15Control systems governed by ODE
34A37Differential equations with impulses
34C28Complex behavior, chaotic systems (ODE)
37D45Strange attractors, chaotic dynamics
37N35Dynamical systems in control
93D15Stabilization of systems by feedback
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