CODIMENSION 2 BIFURCATIONS IN THE PRESENCE OF NOISE

被引：0
|
作者：
NAMACHCHIVAYA, N [1 ]
机构：
[1] UNIV ILLINOIS,DEPT AERONAUT & ASTRONAUT ENGN,URBANA,IL 61801
来源：
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1991年 / 58卷 / 01期
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D O I：
暂无
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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.
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页码：259 / 265
页数：7
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