A Wong–Zakai approximation for random slow manifolds with application to parameter estimation
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05201-4
Abstract: We study a Wong-Zakai approximation for the random slow manifold of a slow-fast stochastic dynamical system. We first deduce the existence of the random slow manifold about an approximation system driven by an integrated Ornstein-Uhlenbeck… read more here.
Keywords: system; zakai approximation; wong zakai; random slow ... See more keywords
Wong–Zakai approximation for the stochastic Landau–Lifshitz–Gilbert equations
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DOI: 10.1016/j.jde.2019.01.025
Abstract: Abstract In this work we study stochastic Landau–Lifshitz–Gilbert equations (SLLGEs) in one dimension, with non-zero exchange energy only. Firstly, by introducing a suitable transformation, we convert the SLLGEs to a highly nonlinear time dependent partial… read more here.
Keywords: landau lifshitz; approximation; gilbert equations; stochastic landau ... See more keywords
A Wong-Zakai approximation for random invariant manifolds
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DOI: 10.1063/1.5017932
Abstract: Random invariant manifolds are geometric objects useful for understanding complex dynamics under stochastic influences. But these random objects are difficult to be visualized geometrically or computed numerically. The current work provides a perturbation approach to… read more here.
Keywords: random invariant; invariant manifold; zakai approximation; random ... See more keywords
Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations
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DOI: 10.1063/5.0016914
Abstract: In this paper, we consider the Wong–Zakai approximations and random attractors for stochastic discrete complex Ginzburg–Landau equations driven by nonlinear multiplicative noise. We establish the existence of the random attractor for the approximate system. For… read more here.
Keywords: discrete complex; random attractors; zakai approximations; stochastic discrete ... See more keywords
Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces
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DOI: 10.1063/5.0111876
Abstract: In this paper, we consider the regularity of Wong–Zakai approximations of the non-autonomous stochastic degenerate parabolic equations with X-elliptic operators. We first establish the pullback random attractors for the random degenerate parabolic equations with a… read more here.
Keywords: parabolic equations; wong zakai; non autonomous; autonomous stochastic ... See more keywords
Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains
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DOI: 10.1142/s0219493721500337
Abstract: The Wong–Zakai approximations given by a stationary process and attractors for stochastic degenerate parabolic equations are considered in this paper. We first establish the existence and uniqueness of tempered pullback attractors for the Wong–Zakai approximations… read more here.
Keywords: stochastic degenerate; zakai approximations; parabolic equations; wong zakai ... See more keywords
Wong-Zakai method for stochastic differential equations in engineering
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DOI: 10.2298/tsci200528014s
Abstract: In this paper, Wong-Zakai approximation methods are presented for some stochastic differential equations in engineering sciences. Wong-Zakai approximate solutions of the equations are analyzed and the numerical results are compared with results from popular approximation… read more here.
Keywords: stochastic differential; equations engineering; wong zakai; differential equations ... See more keywords