First homoclinic tangencies in the boundary of Anosov diffeomorphisms (Q1576803)
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scientific article; zbMATH DE number 1492553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | First homoclinic tangencies in the boundary of Anosov diffeomorphisms |
scientific article; zbMATH DE number 1492553 |
Statements
First homoclinic tangencies in the boundary of Anosov diffeomorphisms (English)
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16 August 2000
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Let \(f:M\to M\) be an Anosov diffeomorphism on a compact connected Riemannian manifold \(M\) of dimension two. The main goal of this note is the analysis of the generic ways \(f\) has to lose hyperbolicity and the construction of a path, from \(f\) to the boundary of its stability component, that ends with a diffeomorphism exhibiting a cubic homoclinic tangency.
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Anosov diffeomorphism
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hyperbolicity
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homoclinic tangency
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