Biblioteca de la Universidad Complutense de Madrid

Topology and dynamics of unstable attractors


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

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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.

Tipo de documento:Artículo
Información Adicional:

International Conference on Geometric Topology Honoring the 100th Birth Anniversary of Karol Borsuk, JUL 03-10, 2005, Bedlewo, POLAND

Palabras clave:Isolated invariant sets; spaces; shape; unstable attractor; external explosion; Conley index; shape
Materias:Ciencias > Matemáticas > Topología
Código ID:15589
Depositado:12 Jun 2012 08:02
Última Modificación:05 Nov 2013 16:11

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