Geodesic
Poincaré-Melnikov theory for n-dimensional diffeomorphisms
Applicationes Mathematicae, Tome 25 (1999) no. 2, pp. 129-152 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am-25-2-129-152
Keywords: Melnikov function, splitting of separatrices, homoclinic solutions

M. Baldomà 1 ; E. Fontich 1

1 
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     title = {Poincar\'e-Melnikov theory for n-dimensional diffeomorphisms},
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M. Baldomà; E. Fontich. Poincaré-Melnikov theory for n-dimensional diffeomorphisms. Applicationes Mathematicae, Tome 25 (1999) no. 2, pp. 129-152. doi: 10.4064/am-25-2-129-152

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