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Type: Artigo de periódico
Title: Isolating blocks for periodic orbits
Author: Bertolim, MA
De Rezende, KA
Neto, OM
Abstract: In this article, we prove that the Lyapunov semi-graphs associated with periodic orbits are realizable by constructing isolating blocks N-n for periodic orbits of Morse-Smale flows. We analyze the effects on the Betti numbers of a manifold after performing a round handle operation and considering a variety of situations. Since we are concerned in showing the existence of certain blocks, we keel) the complexity of the manifolds in consideration under control by considering mainly manifolds with free homology groups, in particular, we consider connected sums of tori manifolds.
Subject: Conley index theory
round handles
periodic orbits
Lyapunov graphs
Country: EUA
Editor: Springer/plenum Publishers
Rights: fechado
Identifier DOI: 10.1007/s10883-006-9006-0
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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