4.7 Article

Chaos synchronization of a new hyperchaotic system

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 5, Pages 2125-2132

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.07.011

Keywords

Synchronization; Hyperchaotic system; Active control theory; Lyapunov stability theory

Funding

  1. Science Foundation of The Chongqing Education Commission [KJ101212]

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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. (C) 2010 Elsevier Inc. All rights reserved.

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