Geodesic
Partial hyperbolicity and homoclinic tangencies
Journal of the European Mathematical Society, Tome 17 (2015) no. 1, pp. 1-49 Cet article a éte moissonné depuis la source EMS Press

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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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     author = {Sylvain Crovisier and Martin Sambarino and Dawei Yang},
     title = {Partial hyperbolicity and homoclinic tangencies},
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     pages = {1--49},
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}
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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

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