English

Analytic skew products of quadratic polynomials over circle expanding maps

Dynamical Systems 2015-06-11 v3

Abstract

We prove that a Viana map with an arbitrarily non-constant real analytic coupling function admits two positive Lyapunov exponents almost everywhere.

Keywords

Cite

@article{arxiv.1209.2570,
  title  = {Analytic skew products of quadratic polynomials over circle expanding maps},
  author = {Wen Huang and Weixiao Shen},
  journal= {arXiv preprint arXiv:1209.2570},
  year   = {2015}
}