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dc.contributor.authorBramburger, Jason J.en_US
dc.contributor.authorAltschuler, Dylan J.en_US
dc.contributor.authorAvery, Chloe I.en_US
dc.contributor.authorSangsawang, Tharathepen_US
dc.contributor.authorBeck, Margareten_US
dc.contributor.authorCarter, Paulen_US
dc.contributor.authorSandstede, Bjornen_US
dc.date.accessioned2019-04-22T19:09:29Z
dc.date.available2019-04-22T19:09:29Z
dc.date.issued2018
dc.identifier.citationJJ Bramburger, D Altschuler, CI Avery, T Sangsawang, M Beck, P Carter, Bjorn Sandstede. 2018. "Localized radial roll patterns in higher space dimensions."
dc.identifier.urihttps://hdl.handle.net/2144/34892
dc.description.abstractLocalized roll patterns are structures that exhibit a spatially periodic profile in their center. When following such patterns in a system parameter in one space dimension, the length of the spatial interval over which these patterns resemble a periodic profile stays either bounded, in which case branches form closed bounded curves (“isolas”), or the length increases to infinity so that branches are unbounded in function space (“snaking”). In two space dimensions, numerical computations show that branches of localized rolls exhibit a more complicated structure in which both isolas and snaking occur. In this paper, we analyse the structure of branches of localized radial roll solutions in dimension 1+ε, with 0 < ε 1, through a perturbation analysis. Our analysis sheds light on some of the features visible in the planar case.en_US
dc.description.urihttp://math.bu.edu/people/mabeck/Bramburgeretal18.pdf
dc.subjectRadial roll patternsen_US
dc.subjectSwift–Hohenbergen_US
dc.titleLocalized radial roll patterns in higher space dimensionsen_US
dc.typeArticleen_US
pubs.elements-sourcemanual-entryen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Mathematics & Statisticsen_US
pubs.publication-statusSubmitteden_US
dc.description.oaversionFirst author draft


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