English

Hyperbolicity of renormalization of circle maps with a break-type singularity

Dynamical Systems 2014-04-29 v2

Abstract

We study the renormalization operator of circle homeomorphisms with a break point and show that it possesses a hyperbolic horseshoe attractor.

Keywords

Cite

@article{arxiv.1312.4184,
  title  = {Hyperbolicity of renormalization of circle maps with a break-type singularity},
  author = {Konstantin Khanin and Michael Yampolsky},
  journal= {arXiv preprint arXiv:1312.4184},
  year   = {2014}
}