English

Real Polynomial Diffeomorphisms with Maximal Entropy: II. Small Jacobian

Dynamical Systems 2007-05-23 v1 Complex Variables

Abstract

This paper concerns the Henon family of diffeomorphisms of the plane for which the absolute value of the jacobian parameter is bounded by .08. We describe the parameter locus for which the mapping is a horseshoe.

Keywords

Cite

@article{arxiv.math/0402355,
  title  = {Real Polynomial Diffeomorphisms with Maximal Entropy: II. Small Jacobian},
  author = {Eric Bedford and John Smillie},
  journal= {arXiv preprint arXiv:math/0402355},
  year   = {2007}
}