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.
@article{bwmeta1.element.bwnjournal-article-zmv25i2p129bwm,
author = {M. Baldom\`a and E. Fontich},
title = {Poincar\'e-Melnikov theory for n-dimensional diffeomorphisms},
journal = {Applicationes Mathematicae},
volume = {25},
year = {1998},
pages = {129-152},
zbl = {0909.58029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv25i2p129bwm}
}
Baldomà, M.; Fontich, E. Poincaré-Melnikov theory for n-dimensional diffeomorphisms. Applicationes Mathematicae, Tome 25 (1998) pp. 129-152. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv25i2p129bwm/
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