Approximation representation of parameterizing manifold and non-Markovian reduced systems for a stochastic Swift-Hohenberg equation

DOI10.1016/j.aml.2015.08.015zbMath1356.60102OpenAlexW1464092630MaRDI QIDQ901006

Yan-feng Guo, Jin-qiao Duan

Publication date: 23 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.08.015

zbMATH Keywords

backward-forward systemsapproximation representationnon-Markovian reduced systemsparameterizing manifolds

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

Stochastic attractor bifurcation of the one-dimensional Swift-Hohenberg equation with multiplicative noise ⋮ The stochastic Swift–Hohenberg equation ⋮ Unnamed Item ⋮ Representation of manifolds for the stochastic Swift-Hohenberg equation with multiplicative noise

Cites Work

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• Qualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearity
• Geometric theory of semilinear parabolic equations
• Asymptotic dynamical difference between the nonlocal and local Swift–Hohenberg models
• Approximation of Stochastic Invariant Manifolds
• Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations
• An impact of noise on invariant manifolds in nonlinear dynamical systems
• Geometric shape of invariant manifolds for a class of stochastic partial differential equations

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