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ArticleOriginal scientific text

Title

Poincaré-Melnikov theory for n-dimensional diffeomorphisms

Authors 1, 2

Affiliations

  1. Facultat d'informàtica, Escoles Universitàries Gimbernat, Vial Interpolar del Vallès, s/n, 08190 St Cugat del Vallès, Spain
  2. Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona , Gran Via, 585, 08007 Barcelona, Spain

Abstract

We consider perturbations of n-dimensional maps having homo-heteroclinic connections of compact normally hyperbolic invariant manifolds. We justify the applicability of the Poincaré-Melnikov method by following a geometric approach. Several examples are included.

Keywords

ENG
Melnikov function, splitting of separatrices, homoclinic solutions

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Applicationes Mathematicae
1998-1999/25/2
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Pages:
129-152
Main language of publication
English
Received
1996-06-24
Published
1998
Exact and natural sciences