A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points
Joint Authors
Yang, Chun-de
Huang, Kun
Zhou, Ping
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-10
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced.
There is no-chaotic behavior for its corresponded integer-order system.
We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor.
A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system.
Numerical simulations is verified the effectiveness of the proposed scheme.
American Psychological Association (APA)
Zhou, Ping& Huang, Kun& Yang, Chun-de. 2013. A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-507363
Modern Language Association (MLA)
Zhou, Ping…[et al.]. A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-507363
American Medical Association (AMA)
Zhou, Ping& Huang, Kun& Yang, Chun-de. A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-507363
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507363