A Complement to the Connecting Lemma of Hayashi

@inproceedings{Martn2001ACT,
  title={A Complement to the Connecting Lemma of Hayashi},
  author={Jos{\'e} Carlos Mart{\'i}n and L Mora},
  year={2001}
}
Here we show that for a C 2 surface diffeomorphism that satisfy the hypothesis of Hayashi connecting lemma either can be approximated, in the C 1 topology, by a diffeomorphism exhibiting a homoclinic tangency or the diffeomorphism already presented transversal homoclinic orbits.