Soit un difféomorphisme d’une surface possédant deux fers à cheval tels que et aient en un point une tangence quadratique isolée. Nous montrons que, si la somme des dimensions transverses de et est strictement plus grande que 1, les difféomorphismes voisins de tels que et soient stablement tangents au voisinage de forment une partie de densité inférieure strictement positive en .
Let be a surface diffeomorphism with two horseshoes such that and have a quadratic tangency at a point . We show that, if the sum of the transverse dimension of and is larger than one, the set of diffeomorphisms close to such that and have a stable tangency near has positive density at .
@article{ASENS_2010_4_43_1_1_0, author = {Moreira, Carlos Gustavo and Yoccoz, Jean-Christophe}, title = {Tangences homoclines stables pour des ensembles hyperboliques de grande dimension fractale}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {43}, year = {2010}, pages = {1-68}, doi = {10.24033/asens.2115}, mrnumber = {2583264}, zbl = {1200.37020}, language = {fr}, url = {http://dml.mathdoc.fr/item/ASENS_2010_4_43_1_1_0} }
Moreira, Carlos Gustavo; Yoccoz, Jean-Christophe. Tangences homoclines stables pour des ensembles hyperboliques de grande dimension fractale. Annales scientifiques de l'École Normale Supérieure, Tome 43 (2010) pp. 1-68. doi : 10.24033/asens.2115. http://gdmltest.u-ga.fr/item/ASENS_2010_4_43_1_1_0/
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