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) |
|---|---|
| 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