Real Polynomial Diffeomorphisms with Maximal Entropy: II. Small Jacobian

Research paper by Eric Bedford, John Smillie

Indexed on: 23 Feb '04Published on: 23 Feb '04Published in: Mathematics - Dynamical Systems


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.