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Hopf Bifurcations of a Stochastic Fractional-Order Van der Pol System
Joint Authors
Liu, Xiaojun
Yang, Lixin
Hong, Ling
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The Hopf bifurcation of a fractional-order Van der Pol (VDP for short) system with a random parameter is investigated.
Firstly, the Chebyshev polynomial approximation is applied to study the stochastic fractional-order system.
Based on the method, the stochastic system is reduced to the equivalent deterministic one, and then the responses of the stochastic system can be obtained by numerical methods.
Then, according to the existence conditions of Hopf bifurcation, the critical parameter value of the bifurcation is obtained by theoretical analysis.
Then, numerical simulations are carried out to verify the theoretical results.
American Psychological Association (APA)
Liu, Xiaojun& Hong, Ling& Yang, Lixin. 2014. Hopf Bifurcations of a Stochastic Fractional-Order Van der Pol System. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1034040
Modern Language Association (MLA)
Liu, Xiaojun…[et al.]. Hopf Bifurcations of a Stochastic Fractional-Order Van der Pol System. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1034040
American Medical Association (AMA)
Liu, Xiaojun& Hong, Ling& Yang, Lixin. Hopf Bifurcations of a Stochastic Fractional-Order Van der Pol System. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1034040
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034040