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Shape and Conley index of attractors and isolated invariant sets



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Rodríguez Sanjurjo, José Manuel (2008) Shape and Conley index of attractors and isolated invariant sets. In Differential equations, chaos and variational problems. Progress in Nonlinear Differential Equations and their Applications (75). Birkhäuser, Basel, pp. 393-406. ISBN 978-3-7643-8481-4

URL Oficial: http://link.springer.com/chapter/10.1007%2F978-3-7643-8482-1_29

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This article is an exposition of several results concerning the theory of continuous dynamical systems, in which Topology plays a key role. We study homological and homotopical properties of attractors and isolated invariant compacta as well as properties of their unstable manifolds endowed with the intrinsic topology. We also provide a dynamical framework to express properties which are studied in Topology under the name of Hopf duality. Finally we see how the use of the intrinsic topology makes it possible to calculate the Conley-Zehnder equations of a Morse decomposition of an isolated invariant compactum, provided we have enough information about its unstable manifold.

Tipo de documento:Sección de libro
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Papers from the Conference "Views on ODEs" held in Aveiro, June 2006

Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:21792
Depositado:11 Jun 2013 12:34
Última Modificación:12 Dic 2018 15:13

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