Homoclinic bifurcations and uniform hype
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Aubin Arroyo; Federico Rodriguez Hertz
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Article
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2003
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Elsevier Science
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English
⚖ 358 KB
In this paper we prove that any C 1 vector field defined on a three-dimensional manifold can be approximated by one that is uniformly hyperbolic, or that exhibits either a homoclinic tangency or a singular cycle. This proves an analogous statement of a conjecture of Palis for diffeomorphisms in the