Stochastic Stability and Bifurcations of the Singe-Degree-of Freedom System with Two Delays

Xue Wen Qin

doi:10.4028/www.scientific.net/AMR.631-632.1249

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 631-632Stochastic Stability and Bifurcations of the...

Stochastic Stability and Bifurcations of the Singe-Degree-of Freedom System with Two Delays

Abstract:

In this paper, we analyze a singe-degree-of freedom stochastic dynamical system with two time delays. Applying Hale’s reduction approach and stochastic center manifold, the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are determined.

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Periodical:

Advanced Materials Research (Volumes 631-632)

Pages:

1249-1253

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.631-632.1249

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Online since:

January 2013

Authors:

Xue Wen Qin

Keywords:

Singe-Degree-of Freedom System, Stochastic Bifurcation, Stochastic Center Manifold, Stochastic Stability

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