Chaos in fractional-order Genesio-Tesi system and its synchronization

被引：85

作者：

Faieghi, Mohammad Reza ^{[2
]}

Delavari, Hadi ^{[1
]}

机构：

[1] Islamic Azad Univ, Toyserkan Branch, Toyserkan, Iran

[2] Islamic Azad Univ, Dept Elect Engn, Miyaneh Branch, Miyaneh, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 02期

关键词：

The Genesio-Tesi system; Fractional-order chaotic system; Lyapunov exponent; Chaos synchronization; Active control; Sliding mode control; SECURE COMMUNICATION; ADAPTIVE SYNCHRONIZATION; DYNAMICS; SCHEME; ATTRACTORS; ROSSLER; DESIGN;

D O I：

10.1016/j.cnsns.2011.05.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In this paper we study the chaotic dynamics of fractional-order Genesio-Tesi system. Theoretically, a necessary condition for occurrence of chaos is obtained. Numerical investigations on the dynamics of this system have been carried out and properties of the system have been analyzed by means of Lyapunov exponents. It is shown that in case of commensurate system the lowest order of fractional-order Genesio-Tesi system to yield chaos is 2.79. Further, chaos synchronization of fractional-order Genesio-Tesi system is investigated via two different control strategies. Active control and sliding mode control are proposed and the stability of the controllers are studied. Numerical simulations have been carried out to verify the effectiveness of controllers. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：731 / 741

页数：11

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