A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos
Joint Authors
Shen, Shiyun
Ke, Meihua
Zhou, Ping
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-05
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
One 3D fractional-order chaotic system with only one locally asymptotically stable equilibrium is reported.
To verify the chaoticity, the maximum Lyapunov exponent (MAXLE) with respect to the fractional-order and chaotic attractors are obtained by numerical calculation for this system.
Furthermore, by linear scalar controller consisting of a single state variable, one control scheme for stabilization of the 3D fractional-order chaotic system is suggested.
The numerical simulations show the feasibility of the control scheme.
American Psychological Association (APA)
Shen, Shiyun& Ke, Meihua& Zhou, Ping. 2017. A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1151826
Modern Language Association (MLA)
Shen, Shiyun…[et al.]. A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-5.
https://search.emarefa.net/detail/BIM-1151826
American Medical Association (AMA)
Shen, Shiyun& Ke, Meihua& Zhou, Ping. A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1151826
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151826
