On Herman's Theorem for Piecewise Smooth Circle Maps with Two Breaks

Akhtam Dzhalilov

Abstract

We prove a version of Herman's linearization theorem for piecewise smooth circle homeomorphisms with two break points whose rotation number satisfies a Diophantine condition.

Authors: A. Dzhalilov, A. Jalilov, D. Mayer

Keywords

Breaks Herman

Cite this paper

Cite this article

@article{on_hermans_theorem_for_piecewise_smooth_circle_maps_with_two_breaks,
  author    = {Akhtam Dzhalilov},
  title     = {On Herman's Theorem for Piecewise Smooth Circle Maps with Two Breaks},
  journal   = {Springer Proceedings in Mathematics & Statistics (USUZCAMP)},
  year      = {2018},
  pages     = {75—100},
}