Homological Characterizations of Spiral Defect Chaos in Rayleigh-Benard Convection

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dc.creatorKrishan, Kapilanjan
dc.creatorGameiro, Marcio
dc.creatorMischaikow, Konstantin
dc.creatorSchatz, Michael F.
dc.date2009-04-25
dc.date.accessioned2026-07-07T13:08:49Z
dc.date.available2026-07-07T13:08:49Z
dc.descriptionWe use a quantitative topological characterization of complex dynamics to measure geometric structures. This approach is used to analyze the weakly turbulent state of spiral defect chaos in experiments on Rayleigh-Benard convection. Different attractors of spiral defect chaos are distinguished by their homology. The technique reveals pattern asymmetries that are not revealed using statistical measures. In addition we observe global stochastic ergodicity for system parameter values where locally chaotic dynamics has been observed previously.
dc.description5 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0904.3969
dc.identifierhttp://arxiv.org/abs/0904.3969
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228542
dc.subjectPattern Formation and Solitons
dc.titleHomological Characterizations of Spiral Defect Chaos in Rayleigh-Benard Convection
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