Generation of homoclinic tangencies by $C^1$-perturbations.
Langue
en
Article de revue
Ce document a été publié dans
Discrete and Continuous Dynamical Systems - Series A. 2010, vol. 26, n° 1, p. 1-42
American Institute of Mathematical Sciences
Résumé en anglais
Given a [C^1] -diffeomorphism [f] of a compact manifold, we show that if the stable/unstable dominated splitting along a saddle is weak enough, then there is a small [C^1] -perturbation that preserves the orbit of the ...Lire la suite >
Mots clés en anglais
Dominated splitting
homoclinic tangency
bifurcation
homoclinic class.
homoclinic class