61 citations · 202 across the 47 of their papers we have counts for
3 papers · 1 filter
Center manifolds for stochastic evolution equations
Xiaopeng Chen, A. J. Roberts, Jinqiao Duan
Stochastic invariant manifolds are crucial in modelling the dynamical behavior of dynamical systems under uncertainty. Under the assumption of exponential trichotomy, existence and…
Approximation of the random inertial manifold of singularly perturbed stochastic wave equations
Yan Lv, Wei Wang, Anthony Roberts
By applying Rohlin's result on the classification of homomorphisms of Lebesgue space, the random inertial manifold of a stochastic damped nonlinear wave equations with singular per…
Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach
Xingye Kan, Jinqiao Duan, Ioannis G. Kevrekidis +1
A numerical approach for the approximation of inertial manifolds of stochastic evolutionary equations with multiplicative noise is presented and illustrated. After splitting the st…