Partial hyperbolicity and homoclinic tangencies

Crovisier, Sylvain, Sambarino, Martin, and Yang, Dawei. "Partial hyperbolicity and homoclinic tangencies." Journal of the European Mathematical Society 017.1 (2015): 1-49. <http://eudml.org/doc/277786>.

@article{Crovisier2015,
abstract = {We show that any diffeomorphism of a compact manifold can be $C^1$ approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic structure.},
author = {Crovisier, Sylvain, Sambarino, Martin, Yang, Dawei},
journal = {Journal of the European Mathematical Society},
keywords = {homoclinic tangency; heterodimensional cycle; hyperbolic diffeomorphism; generic dynamics; homoclinic class; partial hyperbolicity; homoclinic tangency; heterodimensional cycle; hyperbolic diffeomorphism; generic dynamics; homoclinic class; partial hyperbolicity},
language = {eng},
number = {1},
pages = {1-49},
publisher = {European Mathematical Society Publishing House},
title = {Partial hyperbolicity and homoclinic tangencies},
url = {http://eudml.org/doc/277786},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Crovisier, Sylvain
AU - Sambarino, Martin
AU - Yang, Dawei
TI - Partial hyperbolicity and homoclinic tangencies
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 1
SP - 1
EP - 49
AB - We show that any diffeomorphism of a compact manifold can be $C^1$ approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic structure.
LA - eng
KW - homoclinic tangency; heterodimensional cycle; hyperbolic diffeomorphism; generic dynamics; homoclinic class; partial hyperbolicity; homoclinic tangency; heterodimensional cycle; hyperbolic diffeomorphism; generic dynamics; homoclinic class; partial hyperbolicity
UR - http://eudml.org/doc/277786
ER -