Scale-local dimensions of strange attractors

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dc.creatorReid, J. G.
dc.creatorTrainor, T. A.
dc.date2003-05-09
dc.date.accessioned2026-07-07T04:30:11Z
dc.date.available2026-07-07T04:30:11Z
dc.descriptionWe compare limit-based and scale-local dimensions of complex distributions, particularly for a strange attractor of the Henon map. Scale-local dimensions as distributions on scale are seen to exhibit a wealth of detail. Limit-based dimensions are shown to be averages of scale-local dimensions, in principle over a semi-infinite scale interval. We identify some critical questions of definition for practical dimension analysis of arbitrary distributions on bounded scale intervals.
dc.description12 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0305022
dc.identifierhttp://arxiv.org/abs/math-ph/0305022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57386
dc.subjectMathematical Physics
dc.titleScale-local dimensions of strange attractors
dc.typetext

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