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Type: Journal article
Title: Quantifying the role of folding in nonautonomous flows: the unsteady Double-Gyre
Author: Sulalitha Priyankara, K.
Balasuriya, S.
Bollt, E.
Citation: International Journal of Bifurcation and Chaos, 2017; 27(10):1750156-1-1750156-19
Publisher: World Scientific Publishing
Issue Date: 2017
ISSN: 0218-1274
Statement of
K. G. D. Sulalitha Priyankara, Sanjeeva Balasuriya, Erik Bollt
Abstract: We 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.
Keywords: Chaos; horseshoe map; Double-Gyre; transverse intersection; curvature
Rights: © World Scientific Publishing Company
RMID: 0030076872
DOI: 10.1142/S0218127417501565
Grant ID:
Appears in Collections:Mathematical Sciences publications

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