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Bifurcation and final patterns of a modified Swift-Hohenberg equation
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dc.contributor.author Choi, Yuncherl -
dc.contributor.author Ha, Taeyoung -
dc.contributor.author Han, Jongmin -
dc.contributor.author Lee, Doo Seok -
dc.date.accessioned 2018-01-25T01:05:42Z -
dc.date.available 2018-01-25T01:05:42Z -
dc.date.created 2017-08-09 -
dc.date.issued 2017-09 -
dc.identifier.citation Discrete and Continuous Dynamical Systems - Series B, v.22, no.7, pp.2543 - 2567 -
dc.identifier.issn 1531-3492 -
dc.identifier.uri http://hdl.handle.net/20.500.11750/4998 -
dc.description.abstract In this paper, we study the dynamical bifurcation and final patterns of a modified Swift-Hohenberg equation(MSHE). We prove that the MSHE bifurcates from the trivial solution to an S-1-attractor as the control parameter alpha passes through a critical number (alpha) over cap . Using the center manifold analysis, we study the bifurcated attractor in detail by showing that it consists of finite number of singular points and their connecting orbits. We investigate the stability of those points. We also provide some numerical results supporting our analysis. -
dc.language English -
dc.publisher American Institute of Mathematical Sciences -
dc.title Bifurcation and final patterns of a modified Swift-Hohenberg equation -
dc.type Article -
dc.identifier.doi 10.3934/dcdsb.2017087 -
dc.identifier.wosid 000402309200002 -
dc.identifier.scopusid 2-s2.0-85019548836 -
dc.type.local Article(Overseas) -
dc.type.rims ART -
dc.identifier.bibliographicCitation Choi, Yuncherl. (2017-09). Bifurcation and final patterns of a modified Swift-Hohenberg equation. doi: 10.3934/dcdsb.2017087 -
dc.description.journalClass 1 -
dc.citation.publicationname Discrete and Continuous Dynamical Systems - Series B -
dc.contributor.nonIdAuthor Choi, Yuncherl -
dc.contributor.nonIdAuthor Ha, Taeyoung -
dc.contributor.nonIdAuthor Han, Jongmin -
dc.identifier.citationVolume 22 -
dc.identifier.citationNumber 7 -
dc.identifier.citationStartPage 2543 -
dc.identifier.citationEndPage 2567 -
dc.identifier.citationTitle Discrete and Continuous Dynamical Systems - Series B -
dc.type.journalArticle Article -
dc.description.isOpenAccess N -
dc.subject.keywordAuthor Modified Swift-Hohenberg equation -
dc.subject.keywordAuthor dynamical bifurcation -
dc.subject.keywordAuthor center manifold -
dc.subject.keywordPlus Attractor -
dc.subject.keywordPlus Center Manifold -
dc.subject.keywordPlus Dynamical Bifurcation -
dc.subject.keywordPlus Dynamical Bifurcation -
dc.subject.keywordPlus Instability -
dc.subject.keywordPlus Kuramoto Sivashinsky Equation -
dc.subject.keywordPlus Model -
dc.subject.keywordPlus Modified Swift Hohenberg Equation -
dc.subject.keywordPlus Selection -
dc.contributor.affiliatedAuthor Choi, Yuncherl -
dc.contributor.affiliatedAuthor Ha, Taeyoung -
dc.contributor.affiliatedAuthor Han, Jongmin -
dc.contributor.affiliatedAuthor Lee, Doo Seok -
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