Topological dimension of singular-hyperbolic attractors

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dc.creatorMorales, C. A.
dc.date2003-03-20
dc.date.accessioned2026-07-07T04:56:13Z
dc.date.available2026-07-07T04:56:13Z
dc.descriptionAn {\em attractor} is a transitive set of a flow to which all positive orbit close to it converges. An attractor is {\em singular-hyperbolic} if it has singularities (all hyperbolic) and is partially hyperbolic with volume expanding central direction \cite{MPP}. The geometric Lorenz attractor \cite{GW} is an example of a singular-hyperbolic attractor with topological dimension $\geq 2$. We shall prove that {\em all} singular-hyperbolic attractors on compact 3-manifolds have topological dimension $\geq 2$. The proof uses the methods in \cite{MP}.
dc.description18 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0303252
dc.identifierhttp://arxiv.org/abs/math/0303252
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66846
dc.subjectDynamical Systems
dc.subjectPrimary 37D30, Secondary 37C45
dc.titleTopological dimension of singular-hyperbolic attractors
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