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Hopf Bifurcation of Compound Stochastic van der Pol System
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Hopf bifurcation analysis for compound stochastic van der Pol system with a bound random parameter and Gaussian white noise is investigated in this paper.
By the Karhunen-Loeve (K-L) expansion and the orthogonal polynomial approximation, the equivalent deterministic van der Pol system can be deduced.
Based on the bifurcation theory of nonlinear deterministic system, the critical value of bifurcation parameter is obtained and the influence of random strength δ and noise intensity σ on stochastic Hopf bifurcation in compound stochastic system is discussed.
At last we found that increased δ can relocate the critical value of bifurcation parameter forward while increased σ makes it backward and the influence of δ is more sensitive than σ .
The results are verified by numerical simulations.
American Psychological Association (APA)
Ma, Shao-juan& Zhang, Qianling. 2016. Hopf Bifurcation of Compound Stochastic van der Pol System. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1112156
Modern Language Association (MLA)
Ma, Shao-juan& Zhang, Qianling. Hopf Bifurcation of Compound Stochastic van der Pol System. Mathematical Problems in Engineering No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1112156
American Medical Association (AMA)
Ma, Shao-juan& Zhang, Qianling. Hopf Bifurcation of Compound Stochastic van der Pol System. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1112156
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112156