Bifurcations of a New Fractional-Order System with a One-Scroll Chaotic Attractor
Joint Authors
Yang, Li-xin
Liu, Xiaojun
Tang, Dafeng
Hong, Ling
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, a new fractional-order system which has a chaotic attractor of the one-scroll structure is presented.
Firstly, the stability of the equilibrium points of the system is investigated.
And based on the stability analysis, the generation conditions of the one-scroll structure for the attractor are determined.
In a commensurate-order case, bifurcations with the variation of a system parameter are investigated as derivative orders decrease from 0.99.
In an incommensurate-order case, bifurcations with the variation of a derivative order are analyzed as other orders decrease from 1.
American Psychological Association (APA)
Liu, Xiaojun& Hong, Ling& Yang, Li-xin& Tang, Dafeng. 2019. Bifurcations of a New Fractional-Order System with a One-Scroll Chaotic Attractor. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146592
Modern Language Association (MLA)
Liu, Xiaojun…[et al.]. Bifurcations of a New Fractional-Order System with a One-Scroll Chaotic Attractor. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1146592
American Medical Association (AMA)
Liu, Xiaojun& Hong, Ling& Yang, Li-xin& Tang, Dafeng. Bifurcations of a New Fractional-Order System with a One-Scroll Chaotic Attractor. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146592
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146592
