Stochastic attractor bifurcation for the two-dimensional Swift-Hohenberg equation with multiplicative noise

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dc.contributor.authorXiao, Qingkun
dc.contributor.authorGao, Hongjun
dc.date.accessioned2023-05-23T17:46:06Z
dc.date.available2023-05-23T17:46:06Z
dc.date.issued2023-02-27
dc.description.abstractThis article concerns the dynamical transitions of the stochastic Swift-Hohenberg equation with multiplicative noise on a two-dimensional domain (-L,L) times (-L, L). With α and L regarded as parameters, we show that the approximate reduced system corresponding to the invariant manifold undergoes a stochastic pitchfork bifurcation near the critical points, and the impact of noise on stochastic bifurcation of the Swift-Hohenberg equation. We find the approximation representation of the manifold and the corresponding reduced systems for stochastic Swift-Hohenberg equation when L2 and √2L1 are close together.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationXiao, Q., & Gao, H. (2023). Stochastic attractor bifurcation for the two-dimensional Swift-Hohenberg equation with multiplicative noise. <i>Electronic Journal of Differential Equations, 2023</i>(20), pp. 1-22.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16855
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSwift-Hohenberg equation
dc.subjectStochastic bifurcation
dc.subjectDynamical transition
dc.subjectParameterizing manifold
dc.titleStochastic attractor bifurcation for the two-dimensional Swift-Hohenberg equation with multiplicative noise
dc.typeArticle

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