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

共 26 条

[21] SHILNIKOV THEOREM - A TUTORIAL
SILVA, CP
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (10): : 675 - 682
[22] Describing function based methods for predicting chaos in a class of fractional order differential equations
Tavazoei, Mohammad Saleh
Haeri, Mohammad
[J]. NONLINEAR DYNAMICS, 2009, 57 (03) : 363 - 373
[23] Synchronization of Coupled Nonidentical Fractional-Order Hyperchaotic Systems
Wei, Zhouchao
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
[24] Analysing chaos in fractional-order systems with the harmonic balance method
Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China
[J]. Chin. Phys., 2006, 6 (1201-1207): : 1201 - 1207
[25] Chaos in fractional conjugate Lorenz system and its scaling attractors
Yang, Qigui
Zeng, Caibin
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (12) : 4041 - 4051
[26] Chaos and mixed synchronization of a new fractional-order system with one saddle and two stable node-foci
Zeng, Caibin
Yang, Qigui
Wang, Junwei
[J]. NONLINEAR DYNAMICS, 2011, 65 (04) : 457 - 466

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