UM  > Faculty of Science and Technology  > DEPARTMENT OF ELECTROMECHANICAL ENGINEERING
Generation of hyperchaos from the Chen-Lee system via sinusoidal perturbation
Lap Mou Tam1; Juhn Horng Chen2; Hsien Keng Chen3; Wai Meng Si Tou1
2008-11-01
Source PublicationChaos, Solitons and Fractals
ISSN09600779
Volume38Issue:3Pages:826-839
Abstract

A system with more than one positive Lyapunov exponent can be classified as a hyperchaotic system. In this study, a sinusoidal perturbation was designed for generating hyperchaos from the Chen-Lee chaotic system. The hyperchaos was identified by the existence of two positive Lyapunov exponents and bifurcation diagrams. The system is hyperchaotic in several different regions of the parameters c, ε, and ω. It was found that this method not only can enhance or suppress chaotic behavior, but also induces chaos in non-chaotic parameter ranges. In addition, two interesting dynamical behaviors, Hopf bifurcation and intermittency, were also found in this study. © 2007.

DOI10.1016/j.chaos.2007.01.039
URLView the original
Indexed BySCIE
Language英语
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000257017900024
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Citation statistics
Cited Times [WOS]:16   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ELECTROMECHANICAL ENGINEERING
Corresponding AuthorLap Mou Tam
Affiliation1.Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Av. Padre Thomas Pereira S.J., Taipa, Macau
2.Department of Mechanical Engineering, Chung Hua University, Hsinchu, Taiwan
3.Department of Mechanical Engineering, Hsiuping Institute of Technology, Taichung, Taiwan
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Lap Mou Tam,Juhn Horng Chen,Hsien Keng Chen,et al. Generation of hyperchaos from the Chen-Lee system via sinusoidal perturbation[J]. Chaos, Solitons and Fractals,2008,38(3):826-839.
APA Lap Mou Tam,Juhn Horng Chen,Hsien Keng Chen,&Wai Meng Si Tou.(2008).Generation of hyperchaos from the Chen-Lee system via sinusoidal perturbation.Chaos, Solitons and Fractals,38(3),826-839.
MLA Lap Mou Tam,et al."Generation of hyperchaos from the Chen-Lee system via sinusoidal perturbation".Chaos, Solitons and Fractals 38.3(2008):826-839.
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