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Type: Artigo de periódico
Title: Lyapunov graph continuation
Author: Bertolim, MA
Mello, MP
De Rezende, KA
Abstract: In this paper the Poincare-Hopf inequalities are shown to be necessary and sufficient conditions for an abstract Lyapunov graph L to be continued to an abstract Lyapunov graph of Morse type. The Lyapunov graphs considered may represent smooth flows on closed orientable n-manifolds, n greater than or equal to 2. The continuation which is presented by means of a constructive algorithm, is shown to be unique in dimensions two and three. In all other dimensions, the exact number of possible continuations of L are presented.
Country: EUA
Editor: Cambridge Univ Press
Citation: Ergodic Theory And Dynamical Systems. Cambridge Univ Press, v. 23, n. 1, n. 58, 2003.
Rights: embargo
Identifier DOI: 10.1017/S014338570200086X
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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