Persistence of smooth manifolds for a non-autonomous coupled system under small random perturbations

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Invariant manifold theory for dynamical systems (37D10) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Cites Work

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Slow manifolds for multi-time-scale stochastic evolutionary systems
Invariant manifolds for flows in Banach spaces
Slow manifold and averaging for slow-fast stochastic differential system
Semigroups of linear operators and applications to partial differential equations
Center manifolds and contractions on a scale of Banach spaces
Applications of centre manifold theory
Smooth invariant foliations in infinite dimensional spaces
Convex analysis and measurable multifunctions
A random fixed point theorem and the random graph transformation
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Pullback attracting inertial manifolds for nonautonomous dynamical systems
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Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems
Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations
C^k centre unstable manifolds
Invariant manifolds for random and stochastic partial differential equations
A stochastic pitchfork bifurcation in a reaction-diffusion equation
The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations
Probleme General de la Stabilite du Mouvement. (AM-17)