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Dynamics Analysis and Control of a Five-Term Fractional-Order System
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper proposes a new fractional-order chaotic system with five terms.
Firstly, basic dynamical properties of the fractional-order system are investigated in terms of the stability of equilibrium points, Jacobian matrices theoretically.
Furthermore, rich dynamics with interesting characteristics are demonstrated by phase portraits, bifurcation diagrams numerically.
Besides, the control problem of the new fractional-order system is discussed via numerical simulations.
Our results demonstrate that the new fractional-order system has compound structure.
American Psychological Association (APA)
Yang, Li-xin& Liu, Xiaojun. 2018. Dynamics Analysis and Control of a Five-Term Fractional-Order System. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1152845
Modern Language Association (MLA)
Yang, Li-xin& Liu, Xiaojun. Dynamics Analysis and Control of a Five-Term Fractional-Order System. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1152845
American Medical Association (AMA)
Yang, Li-xin& Liu, Xiaojun. Dynamics Analysis and Control of a Five-Term Fractional-Order System. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1152845
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152845