Topology and dynamics of unstable attractors
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2007
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Polish acad sciences inst mathematics
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Alonso Morón, M., Sánchez Gabites, J. J. y Rodríguez Sanjurjo, J. M. «Topology and Dynamics of Unstable Attractors». Fundamenta Mathematicae, vol. 197, 2007, pp. 239-52. DOI.org (Crossref), https://doi.org/10.4064/fm197-0-11.
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
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International Conference on Geometric Topology Honoring the 100th Birth Anniversary of Karol Borsuk, JUL 03-10, 2005, Bedlewo, POLAND