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Real Polynomial Diffeomorphisms with Maximal Entropy: II. Small Jacobian

动力系统 2007-05-23 v1 复变函数

摘要

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.

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引用

@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}
}