Geodesic
Partial hyperbolicity and homoclinic tangencies
Journal of the European Mathematical Society, Tome 17 (2015) no. 1, pp. 1-49.

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We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic structure.
DOI : 10.4171/jems/497
Classification : 37-XX, 00-XX
Keywords: Homoclinic tangency, heterodimensional cycle, hyperbolic diffeomorphism, generic dynamics, homoclinic class, partial hyperbolicity 
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Sylvain Crovisier; Martin Sambarino; Dawei Yang. Partial hyperbolicity and homoclinic tangencies. Journal of the European Mathematical Society, Tome 17 (2015) no. 1, pp. 1-49. doi : 10.4171/jems/497. http://geodesic.mathdoc.fr/articles/10.4171/jems/497/

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