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|Type:||Artigo de periódico|
|Title:||Lyapunov graph continuation|
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.|
|Editor:||Cambridge Univ Press|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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