An Extension of Herman's Theorem for Nonlinear Circle Maps with Two Breaks

Akhtam Dzhalilov

Abstract

Building on earlier work, we extend Herman's theorem to a wider class of nonlinear circle maps with two break points and obtain new smoothness estimates for the conjugacy.

Authors: A. Dzhalilov, D. Mayer, S. Djalilov, A. Aliyev

Keywords

Nonlinear Herman

Cite this paper

Cite this article

@article{an_extension_of_hermans_theorem_for_nonlinear_circle_maps_with_two_breaks,
  author    = {Akhtam Dzhalilov},
  title     = {An Extension of Herman's Theorem for Nonlinear Circle Maps with Two Breaks},
  journal   = {Russian Journal of Nonlinear Dynamics, 14(4)},
  year      = {2018},
  pages     = {553—577},
}