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2013 Asymptotic Behavior of the Stochastic Rayleigh-van der Pol Equations with Jumps
ZaiTang Huang, ChunTao Chen
Abstr. Appl. Anal. 2013: 1-13 (2013). DOI: 10.1155/2013/432704


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.


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ZaiTang Huang. ChunTao Chen. "Asymptotic Behavior of the Stochastic Rayleigh-van der Pol Equations with Jumps." Abstr. Appl. Anal. 2013 1 - 13, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1322.60088
MathSciNet: MR3108634
Digital Object Identifier: 10.1155/2013/432704

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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