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Topology and dynamics of unstable attractors

Morón, Manuel A. and Sánchez Gabites, Jaime Jorge and Rodríguez Sanjurjo, José Manuel (2007) Topology and dynamics of unstable attractors. Fundamenta Mathematicae, 197 . pp. 239-252. ISSN 0016-2736

Official URL: http://helios.impan.gov.pl/cgi-bin/fm/pdf?fm197-0-11

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Abstract

This article aims to explore the theory of unstable attractors with topological tools. A short topological analysis of the isolating blocks for unstable attractors with no external explosions leads quickly to sharp results about their shapes and some hints on how Conley's index is related to stability. Then the setting is specialized to the case of flows in R-n, where unstable attractors are seen to be dynamically complex since they must have external explosions.

Item Type:Article
Additional Information:International Conference on Geometric Topology Honoring the 100th Birth Anniversary of Karol Borsuk, JUL 03-10, 2005, Bedlewo, POLAND
Uncontrolled Keywords:Isolated invariant sets; spaces; shape; unstable attractor; external explosion; Conley index; shape
Subjects:Sciences > Mathematics > Topology
ID Code:15589
Deposited On:12 Jun 2012 08:02
Last Modified:05 Nov 2013 16:11

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