Homoclinic points of symplectic partially hyperbolic systems with 2D centre
Dynamical Systems
2024-05-06 v3
Abstract
We consider a generic symplectic partially hyperbolic diffeomorphism close to direct/skew products of symplectic Anosov diffeomorphisms with area-preserving diffeomorphisms and prove that every hyperbolic periodic point has transverse homoclinic points.
Keywords
Cite
@article{arxiv.1510.05922,
title = {Homoclinic points of symplectic partially hyperbolic systems with 2D centre},
author = {Pengfei Zhang},
journal= {arXiv preprint arXiv:1510.05922},
year = {2024}
}
Comments
Final version