Li, Weigu; Lu, Kening A Siegel theorem for dynamical systems under random perturbations. (English) Zbl 1145.60317 Discrete Contin. Dyn. Syst., Ser. B 9, No. 3-4, 635-642 (2008). Summary: We generalize the classical Siegel’s theorem for deterministic dynamical systems to that under random perturbations. Cited in 7 Documents 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 Keywords:random dynamical systems; Siegel’s theorem PDFBibTeX XMLCite \textit{W. Li} and \textit{K. Lu}, Discrete Contin. Dyn. Syst., Ser. B 9, No. 3--4, 635--642 (2008; Zbl 1145.60317) Full Text: DOI