Abstract
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.
Original language | English (US) |
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Pages (from-to) | 259-265 |
Number of pages | 7 |
Journal | Journal of Applied Mechanics, Transactions ASME |
Volume | 58 |
Issue number | 1 |
DOIs | |
State | Published - Mar 1991 |
Externally published | Yes |
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering