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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 593856, 6 pages
http://dx.doi.org/10.1155/2013/593856
Research Article

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

1School of Sciences, South China University of Technology, Guangzhou 510640, China
2School of Electromechanics, Guangdong Polytechnic Normal University, Guangzhou 510635, China

Received 23 May 2013; Accepted 8 November 2013

Academic Editor: Recai Kilic

Copyright © 2013 Huijian Zhu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper deals with the problem of determining the conditions under which fractional order Rössler 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.