Residential College | false |
Status | 已發表Published |
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 Publication | Chaos, Solitons and Fractals |
ISSN | 0960-0779 |
Volume | 36Issue: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. |
DOI | 10.1016/j.chaos.2006.06.013 |
URL | View the original |
Language | 英語English |
WOS Research Area | Mathematics ; Physics |
WOS Subject | Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical |
WOS ID | WOS:000251570200012 |
The Source to Article | Scopus |
Scopus ID | 2-s2.0-35348886158 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF ELECTROMECHANICAL ENGINEERING |
Corresponding Author | Wen-Chin Chen |
Affiliation | 1.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., Kuang-Tai Lin., & 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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