Stochastic perturbation of pitchfork bifurcations
β Scribed by S.T. Ariaratnam; Wei-Chau Xie
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 264 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0167-4730
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π SIMILAR VOLUMES
In this paper we study, mainly numerically, stochastic pitchfork bifurcation. By stochastic bifurcation we mean that new invariant measures appear as parameters contained in random dynamical systems are varied. We also show, by example, that using computer algebra MAPLE one can calculate stochastic
Almost-sure asymptotic stability of three- and four-dimensional co-dimension two dynamical systems under small intensity stochastic excitations is investigated. The method of stochastic averaging is used to derive a set of approximate ItΓ΄ equations. These equations, along with their sample propertie