Chaos in fractional ordered Liu system

被引：99

作者：

Daftardar-Gejji, Varsha ^{[1
]}

Bhalekar, Sachin ^{[1
]}

机构：

[1] Univ Poona, Dept Math, Pune 411007, Maharashtra, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 03期

关键词：

Caputo derivative; Chaos; Fractional order dynamical systems; Attractor; DIFFERENTIAL-EQUATIONS; ATTRACTORS;

D O I：

10.1016/j.camwa.2009.07.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Present paper deals with fractional version of a dynamical system introduced by C. Liu, L Liu and T. Liu [C Liu, L Liu, T. Liu, A novel three-dimensional autonomous chaos system, Chaos Solitons Fractals 39 (4) (2009) 1950-1958]. Numerical investigations on the dynamics of this system have been carried out. Properties of the system have been analyzed by means of Lyapunov exponents. Furthermore the minimum effective dimensions have been identified for chaos to exist in commensurate and incommensurate orders. It is noteworthy that the results obtained are consistent with the analytical conditions given in the literature. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1117 / 1127

页数：11

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