A Wong-Zakai approximation for random invariant manifolds

DOI10.1063/1.5017932zbMath1386.60220OpenAlexW2780558565MaRDI QIDQ4600256

Tao Jiang, Jin-qiao Duan, Xian-Ming Liu

Publication date: 8 January 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5017932

Mathematics Subject Classification ID

White noise theory (60H40) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (13)

Wong–Zakai approximations of second-order stochastic lattice systems driven by additive white noise ⋮ Effective filtering for slow-fast systems via Wong-Zakai approximation ⋮ Approximations of Lévy processes by integrated fast oscillating Ornstein–Uhlenbeck processes ⋮ Fluctuation analysis of synchronized system ⋮ Invariant manifolds and foliations for random differential equations driven by colored noise ⋮ Persistence of \(C^1\) inertial manifolds under small random perturbations ⋮ Approximations of center manifolds for delay stochastic differential equations with additive noise ⋮ Smooth invariant manifolds for a randomly perturbed non-autonomous coupled system and their approximations ⋮ Strong approximation rate for Wiener process by fast oscillating integrated Ornstein-Uhlenbeck processes ⋮ Finite dimensional reducing and smooth approximating for a class of stochastic partial differential equations ⋮ Approximate dynamics of a class of stochastic wave equations with white noise ⋮ Wong-Zakai approximations and pathwise dynamics of stochastic fractional lattice systems ⋮ Random invariant manifolds of stochastic evolution equations driven by Gaussian and non-Gaussian noises

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