Homoclinic points of symplectic partially hyperbolic systems with 2D centre
arXiv:1510.05922 · doi:10.1080/14689367.2023.2298320
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.
Final version