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Chaos in the Newton-Leipnik system with fractional order
Long-Jye Sheu1; Hsien-Keng Chen2; Juhn-Horng Chen1; Lap-Mou Tam3; Wen-Chin Chen4; Kuang-Tai Lin5; Yuan Kang5
2008
Source PublicationChaos, Solitons and Fractals
ISSN0960-0779
Volume36Issue:1Pages:98-103
Abstract

The dynamics of fractional-order systems has attracted increasing attention in recent years. In this paper, the dynamics of the Newton-Leipnik system with fractional order was studied numerically. The system displays many interesting dynamic behaviors, such as fixed points, periodic motions, chaotic motions, and transient chaos. It was found that chaos exists in the fractional-order system with order less than 3. In this study, the lowest order for this system to yield chaos is 2.82. A period-doubling route to chaos in the fractional-order system was also found. © 2006 Elsevier Ltd. All rights reserved.

DOIhttp://doi.org/10.1016/j.chaos.2006.06.013
URLView the original
Language英语
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000251570200012
The Source to ArticleScopus
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Cited Times [WOS]:85   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ELECTROMECHANICAL ENGINEERING
Corresponding AuthorWen-Chin Chen
Affiliation1.Department of Mechanical Engineering, Chung Hua University, No. 707, Wu-Fu Road, Sec. 2, Hsinchu 300, Taiwan
2.Department of Industrial Engineering and Management, Hsiuping Institute of Technology, Taichung, Taiwan
3.Department of Electromechanical Engineering, University of Macau, Macau
4.Department of Industrial Management, Chung Hua University, Hsinchu, Taiwan
5.Department of Mechanical Engineering, Chung Yuan Christian University, Chung Li, Taiwan
Recommended Citation
GB/T 7714
Long-Jye Sheu,Hsien-Keng Chen,Juhn-Horng Chen,et al. Chaos in the Newton-Leipnik system with fractional order[J]. Chaos, Solitons and Fractals,2008,36(1):98-103.
APA Long-Jye Sheu.,Hsien-Keng Chen.,Juhn-Horng Chen.,Lap-Mou Tam.,Wen-Chin Chen.,...&Yuan Kang.(2008).Chaos in the Newton-Leipnik system with fractional order.Chaos, Solitons and Fractals,36(1),98-103.
MLA Long-Jye Sheu,et al."Chaos in the Newton-Leipnik system with fractional order".Chaos, Solitons and Fractals 36.1(2008):98-103.
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