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Homoclinic Saddle‐Node Bifurcations and Subshifts in a Three‐Dimensional Flow

✍ Scribed by Geertje Hek; Arjen Doelman; Philip Holmes


Publisher
Springer
Year
1998
Tongue
English
Weight
422 KB
Volume
145
Category
Article
ISSN
0003-9527

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✍ Aubin Arroyo; Federico Rodriguez Hertz 📂 Article 📅 2003 🏛 Elsevier Science 🌐 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