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A New Feigenbaum-Like Chaotic 3D System
Joint Authors
Lin, Yiping
Zhao, Huitao
Dai, Yunxian
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-13
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Based on Sprott N system, a new three-dimensional autonomous system is reported.
It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension.
To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcation diagram, Poincaré mapping, and period-doubling route to chaos are analyzed with careful numerical simulations.
The obtained results also show that the period-doubling sequence of bifurcations leads to a Feigenbaum-like strange attractor.
American Psychological Association (APA)
Zhao, Huitao& Lin, Yiping& Dai, Yunxian. 2014. A New Feigenbaum-Like Chaotic 3D System. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-463900
Modern Language Association (MLA)
Zhao, Huitao…[et al.]. A New Feigenbaum-Like Chaotic 3D System. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-463900
American Medical Association (AMA)
Zhao, Huitao& Lin, Yiping& Dai, Yunxian. A New Feigenbaum-Like Chaotic 3D System. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-463900
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463900