Slow foliation of a slow–fast stochastic evolutionary system

Geometric singular perturbation theory for ordinary differential equations

Neil Fenichel · Journal of Differential Equations · 1979 · 2.4K citations

Natural Sciences, Mathematics, Physics +13

Invariant manifolds for stochastic partial differential equations

Jinqiao Duan, Kening Lu, Björn Schmalfuß · The Annals of Probability · 2003 · 294 citations · Full text

Natural Sciences, Autonomous Systems, Mathematics +15

Smooth invariant foliations in infinite dimensional spaces

Shui-Nee Chow, Xiao-Biao Lin, Kening Lu · Journal of Differential Equations · 1991 · 126 citations

Natural Sciences, Mathematics, Topology +11

The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations

Salah-Eldin A. Mohammed, Tusheng Zhang, Huaizhong Zhao · Memoirs of the American Mathematical Society · 2008 · 123 citations · Full text

Engineering, Mathematics, Differential Equations +16

Smooth Stable and Unstable Manifolds for Stochastic Evolutionary Equations

Journal of Dynamics and Differential Equations · 2004 · 118 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +15