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Homoclinic tangencies and hyperbolicity for surface diffeomorphisms

Enrique R. Pujals·Martín Sambarino
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Abstract

We prove here that in the complement of the closure of the hyperbolic surface diffeomorphisms, the ones exhibiting a homoclinic tangency are C^1 dense. This represents a step towards the global understanding of dynamics of surface diffeomorphisms.

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Enrique R. Pujals, Martín Sambarino. 2000-05-01. Homoclinic tangencies and hyperbolicity for surface diffeomorphisms. https://arxiv.org/abs/math/0005303

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