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Chaos synchronization of a new hyperchaotic system
Authors:Yaoyao Lan  Qingguo Li
Institution:a Department of Mathematics and Statistics, Chongqing University of Arts and Sciences, Chongqing 402160, China
b Department of Mathematics and Economics, Hunan University, Changsha 410082, China
Abstract:In this paper, two kinds of synchronization schemes for a new hyperchaotic system are presented. Firstly, on the basis of stability criterion of linear system, synchronization is achieved with the help of the active control theory. Secondly, a nonlinear controller is designed according to Lyapunov stability theory to assure that synchronization can be achieved. Furthermore, an adaptive control approach for synchronization of uncertain hyperchaotic systems is proposed. Finally numerical simulations are provided to show the effectiveness and feasibility of the developed methods.
Keywords:Synchronization  Hyperchaotic system  Active control theory  Lyapunov stability theory
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