Poincaré-Melnikov theory for n-dimensional diffeomorphisms
Volume 25 / 1998
Applicationes Mathematicae 25 (1998), 129-152
DOI: 10.4064/am-25-2-129-152
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.
