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Quantifying the role of folding in nonautonomous flows: the unsteady Double-Gyre

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dc.contributor.authorSulalitha Priyankara, K.
dc.contributor.authorBalasuriya, S.
dc.contributor.authorBollt, E.
dc.date.issued2017
dc.description.abstractWe analyze chaos in the well-known nonautonomous Double-Gyre system. A key focus is on folding, which is possibly the less-studied aspect of the “stretching+folding=chaos” mantra of chaotic dynamics. Despite the Double-Gyre not having the classical homoclinic structure for the usage of the Smale–Birkhoff theorem to establish chaos, we use the concept of folding to prove the existence of an embedded horseshoe map. We also show how curvature of manifolds can be used to identify fold points in the Double-Gyre. This method is applicable to general nonautonomous flows in two dimensions, defined for either finite or infinite times.
dc.description.statementofresponsibilityK. G. D. Sulalitha Priyankara, Sanjeeva Balasuriya, Erik Bollt
dc.identifier.citationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2017; 27(10):1750156-1-1750156-19
dc.identifier.doi10.1142/S0218127417501565
dc.identifier.issn0218-1274
dc.identifier.issn1793-6551
dc.identifier.orcidBalasuriya, S. [0000-0002-3261-7940]
dc.identifier.urihttp://hdl.handle.net/2440/109305
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.relation.granthttp://purl.org/au-research/grants/arc/FT130100484
dc.rights© World Scientific Publishing Company
dc.source.urihttps://doi.org/10.1142/s0218127417501565
dc.subjectChaos; horseshoe map; Double-Gyre; transverse intersection; curvature
dc.titleQuantifying the role of folding in nonautonomous flows: the unsteady Double-Gyre
dc.typeJournal article
pubs.publication-statusPublished

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