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Hyperbolicity and stability for Hamiltonian flows

✍ Scribed by Mário Bessa; Jorge Rocha; Maria Joana Torres

Book ID
119292820
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
233 KB
Volume
254
Category
Article
ISSN
0022-0396

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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