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Hyperchaos in a Conservative System with Nonhyperbolic Fixed Points
Joint Authors
Wu, Aiguo
Zhang, Ruiye
Wang, Zenghui
Cang, Shijian
Chen, Zengqiang
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-22
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Chaotic dynamics exists in many natural systems, such as weather and climate, and there are many applications in different disciplines.
However, there are few research results about chaotic conservative systems especially the smooth hyperchaotic conservative system in both theory and application.
This paper proposes a five-dimensional (5D) smooth autonomous hyperchaotic system with nonhyperbolic fixed points.
Although the proposed system includes four linear terms and four quadratic terms, the new system shows complicated dynamics which has been proven by the theoretical analysis.
Several notable properties related to conservative systems and the existence of perpetual points are investigated for the proposed system.
Moreover, its conservative hyperchaotic behavior is illustrated by numerical techniques including phase portraits and Lyapunov exponents.
American Psychological Association (APA)
Wu, Aiguo& Cang, Shijian& Zhang, Ruiye& Wang, Zenghui& Chen, Zengqiang. 2018. Hyperchaos in a Conservative System with Nonhyperbolic Fixed Points. Complexity،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1136724
Modern Language Association (MLA)
Wu, Aiguo…[et al.]. Hyperchaos in a Conservative System with Nonhyperbolic Fixed Points. Complexity No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1136724
American Medical Association (AMA)
Wu, Aiguo& Cang, Shijian& Zhang, Ruiye& Wang, Zenghui& Chen, Zengqiang. Hyperchaos in a Conservative System with Nonhyperbolic Fixed Points. Complexity. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1136724
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136724