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Zbl 1180.37040
Li, Yang
Some new less conservative criteria for impulsive synchronization of a hyperchaotic Lorenz system based on small impulsive signals. (English)
[J] Nonlinear Anal., Real World Appl. 11, No. 2, 713-719 (2010). ISSN 1468-1218

Summary: The issue of impulsive synchronization of a hyperchaotic Lorenz system is developed. We propose an impulsive synchronization scheme of the hyperchaotic Lorenz system including chaotic systems. Some new and sufficient conditions on varying impulsive distances are established in order to guarantee the synchronizability of the systems using the synchronization method. In particular, some simple conditions are derived for synchronizing the systems by equal impulsive distances. The boundaries of the stable regions are also estimated. Simulation results show the proposed synchronization method to be effective.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics

Keywords: chaos; impulsive synchronization; hyperchaotic Lorenz system

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