Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rossler Toroidal System

被引：2

作者：

Zhu, Huijian ^{[1
,2
]}

机构：

[1] S China Univ Technol, Sch Sci, Guangzhou 510640, Guangdong, Peoples R China

[2] Guangdong Polytech Normal Univ, Sch Electromech, Guangzhou 510635, Guangdong, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2013年 / 2013卷

关键词：

DIFFERENTIAL-EQUATIONS;

D O I：

10.1155/2013/593856

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the problem of determining the conditions under which fractional order Rossler toroidal system can give rise to chaotic behavior. Based on the harmonic balance method, four detailed steps are presented for predicting the existence and the location of chaotic motions. Numerical simulations are performed to verify the theoretical analysis by straightforward computations.

引用

页数：6

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