Bifurcation of non-autonomous stochastic equations

Tuesday, October 23, 2012 - 9:00am - 9:50am
Keller 3-180
Bixiang Wang (New Mexico Institute of Mining and Technology (New Mexico Tech))
This talk is concerned with bifurcation of random
dynamical systems generated by non-autonomous stochastic
equations. We first introduce definitions of pathwise random almost
periodic and almost automorphic solutions for stochastic equations, which are
corresponding counterparts of non-autonomous deterministic
systems. We then discuss pitchfork bifurcation
of random periodic (almost periodic, almost automorphic)
solutions of equations with multiplicative noise.
We also demonstrate that additive white noise could destroy
bifurcation of non-autonomous deterministic equations.
Finally, we discuss bifurcation of random periodic solutions
of a class of stochastic parabolic equations on bounded domains.
MSC Code: