61 citations · 202 across the 47 of their papers we have counts for
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math.DS2012★ 2 cited
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…
math.DS2012★ 1 cited
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…