Article contents
Homoclinic orbits for area preserving diffeomorphisms of surfaces
Published online by Cambridge University Press: 04 May 2021
Abstract
We show that
$C^r $
generically in the space of
$C^r$
conservative diffeomorphisms of a compact surface, every hyperbolic periodic point has a transverse homoclinic orbit.
- Type
- Original Article
- Information
- Ergodic Theory and Dynamical Systems , Volume 42 , Issue 3: Anatole Katok Memorial Issue Part 2: Special Issue of Ergodic Theory and Dynamical Systems , March 2022 , pp. 1122 - 1165
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press
Footnotes
In the memory of Anatole Katok
References
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