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Zbl 1221.93104
Chen, Juan; Liu, Hui; Lu, Jun-An; Zhang, Qunjiao
Projective and lag synchronization of a novel hyperchaotic system via impulsive control. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 2033-2040 (2011). ISSN 1007-5704

Summary: Recently, {\it Q. Yang, K. Zhang} and {\it 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 2000:: *93C15 Control systems governed by ODE
34A37 Differential equations with impulses
34C28 Other types of "recurrent" solutions of ODE
37D45 Strange attractors, chaotic dynamics
37N35 Dynamical systems in control
93D15 Stabilization of systems by feedback

Keywords: hyperchaotic system; impulsive control; projective synchronization; lag synchronization

Citations: Zbl 1175.37041

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