Homoclinic orbits for area preserving diffeomorphisms
Dynamical Systems
2019-12-17 v1 Symplectic Geometry
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
Cite
@article{arxiv.1912.06792,
title = {Homoclinic orbits for area preserving diffeomorphisms},
author = {Patrice Le Calvez and Martin Sambarino},
journal= {arXiv preprint arXiv:1912.06792},
year = {2019}
}