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Parametric study of the fractional-order Chen-Lee system
Lap Mou Tam; Wai Meng Si Tou
2008
Source PublicationChaos, Solitons and Fractals
ISSN0960-0779
Volume37Issue:3Pages:817-826
Abstract

The dynamics of fractional-order systems have attracted a great deal of attention in recent years. In this paper, the effects of parameter changes on the dynamics of the fractional-order Chen-Lee system were studied numerically. The parameter ranges used were relatively broad. The order used for the system was fixed at 2.7 (q1 = q2 = q3 = 0.9). The system displays rich dynamic behaviors, such as a fixed point, periodic motion (including period-3 motion), chaotic motion, and transient chaos. The chaotic motion identified was validated by the confirmation of a positive Lyapunov exponent. Period-doubling routes to chaos in the fractional-order Chen-Lee system were also found. © 2006 Elsevier Ltd. All rights reserved.

DOIhttp://doi.org/10.1016/j.chaos.2006.09.067
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000255084800021
The Source to ArticleScopus
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被引频次[WOS]:24   [WOS记录]     [WOS相关记录]
Document TypeJournal article
专题DEPARTMENT OF ELECTROMECHANICAL ENGINEERING
Corresponding AuthorLap Mou Tam
AffiliationDepartment of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Av. Padre Tomas Pereira S.J., Taipa, Macau, China
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
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Lap Mou Tam,Wai Meng Si Tou. Parametric study of the fractional-order Chen-Lee system[J]. Chaos, Solitons and Fractals,2008,37(3):817-826.
APA Lap Mou Tam,&Wai Meng Si Tou.(2008).Parametric study of the fractional-order Chen-Lee system.Chaos, Solitons and Fractals,37(3),817-826.
MLA Lap Mou Tam,et al."Parametric study of the fractional-order Chen-Lee system".Chaos, Solitons and Fractals 37.3(2008):817-826.
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