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Mathematics 2000

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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