Stochastic attractor bifurcation of the one-dimensional Swift-Hohenberg equation with multiplicative noise

DOI10.1016/j.jde.2022.07.030zbMath1496.35053OpenAlexW4288679884MaRDI QIDQ2168032

Qing-kun Xiao, Hong-Jun Gao

Publication date: 31 August 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.07.030

zbMATH Keywords

Swift-Hohenberg equationone space dimensiondynamical transitionstochastic bifurcationparameterizing manifold

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Reaction-diffusion equations (35K57) PDEs with randomness, stochastic partial differential equations (35R60) Bifurcations in context of PDEs (35B32)

Related Items (2)

The high-order approximation of SPDEs with multiplicative noise via amplitude equations ⋮ Unnamed Item

Cites Work

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• BIFURCATION ANALYSIS OF THE SWIFT–HOHENBERG EQUATION WITH QUINTIC NONLINEARITY
• A stochastic pitchfork bifurcation in a reaction-diffusion equation
• Stochastic attractor bifurcation for the two‐dimensional Swift‐Hohenberg equation
• Some Canonical Bifurcations in the Swift–Hohenberg Equation

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