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A Siegel theorem for dynamical systems under random perturbations. (English) Zbl 1145.60317

Summary: We generalize the classical Siegel’s theorem for deterministic dynamical systems to that under random perturbations.

MSC:

60H15 Stochastic partial differential equations (aspects of stochastic analysis)
37H05 General theory of random and stochastic dynamical systems
37L55 Infinite-dimensional random dynamical systems; stochastic equations
37L25 Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems
37D10 Invariant manifold theory for dynamical systems
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