![](/images/graphics-bg.png)
Asymptotic Behavior of the Stochastic Rayleigh-van der Pol Equations with Jumps
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-29
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study the stability, attractors, and bifurcation of stochastic Rayleigh-van der Pol equations with jumps.
We first established the stochastic stability and the large deviations results for the stochastic Rayleigh-van der Pol equations.
We then examine the existence limit circle and obtain some new random attractors.
We further establish stochastic bifurcation of random attractors.
Interestingly, this shows the effect of the Poisson noise which can stabilize or unstabilize the system which is significantly different from the classical Brownian motion process.
American Psychological Association (APA)
Huang, Zaitang& Chen, ChunTao. 2013. Asymptotic Behavior of the Stochastic Rayleigh-van der Pol Equations with Jumps. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-471876
Modern Language Association (MLA)
Huang, Zaitang& Chen, ChunTao. Asymptotic Behavior of the Stochastic Rayleigh-van der Pol Equations with Jumps. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-471876
American Medical Association (AMA)
Huang, Zaitang& Chen, ChunTao. Asymptotic Behavior of the Stochastic Rayleigh-van der Pol Equations with Jumps. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-471876
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471876