RT Book, Section
T1 Shape and Conley index of attractors and isolated invariant sets
A1 Rodríguez Sanjurjo, José Manuel
A2 Staicu, Vasile
AB 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.
PB Birkhäuser
SN 978-3-7643-8481-4
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/53251
UL https://hdl.handle.net/20.500.14352/53251
LA eng
NO Papers from the Conference "Views on ODEs" held in Aveiro, June 2006
DS Docta Complutense
RD 29 abr 2024