Chaos reduced-order anti-synchronization of chaotic systems with fully unknown parameters

被引：21

作者：

Al-sawalha, M. Mossa ^{[1
]}

Noorani, M. S. M. ^{[2
]}

机构：

[1] Univ Hail, Dept Math, Fac Sci, Hail, Saudi Arabia

[2] Univ Kebangsaan Malaysia, Sch Math Sci, Ctr Modelling & Data Anal, Ukm Bangi 43600, Selangor, Malaysia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 04期

关键词：

Reduced-order; Anti-synchronization; Adaptive control; Unknown parameters; ADAPTIVE SYNCHRONIZATION; HYPERCHAOTIC SYSTEMS; SCHEME;

D O I：

10.1016/j.cnsns.2011.07.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this present paper, we elaborated the concept of the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third order chaotic system can be anti-synchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to several examples: hyperchaotic Chen system (fourth-order) and Lu system (third-order), theoretical analysis and numerical simulations are shown to verify the results. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.

引用

页码：1908 / 1920

页数：13

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