2 Symbolic codes for the Hénon map by continuation

@inproceedings{Dullin20042SC,
  title={2 Symbolic codes for the H{\'e}non map by continuation},
  author={Holger R. Dullin and James D. Meiss and David G. Sterling},
  year={2004}
}
Symbolic codes for rotational orbits and “islands-around-islands” are constructed for the quadratic, area-preserving Hénon map. The codes are based upon continuation from an antiintegrable limit, or alternatively from the horseshoe. Given any sequence of rotation numbers we obtain symbolic sequences for the corresponding elliptic and hyperbolic rotational… CONTINUE READING