Co-dimension Two Bifurcations in the Presence of Noise
Keyword(s):
Some results pertaining to co-dimension two stochastic bifurcations are presented. The normal form associated with non-semi-simple double-zero eigenvalues is considered. The method of stochastic averaging applicable for singularly perturbed stochastic differential equations is used to further reduce the problem to a one dimensional diffusion process. Probability density, most probable values, stability conditions in probability, and mean exit times are obtained for the reduced system.
2001 ◽
Vol 54
(2)
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pp. 161-169
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1985 ◽
Vol 98
(4)
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pp. 449-468
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2011 ◽
Vol 2011
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pp. 1-3
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1961 ◽
Vol 6
(4)
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pp. 404-410
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2014 ◽
Vol 46
(01)
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pp. 186-202
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2007 ◽
Vol 348-349
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pp. 397-400