English

Cyclicity in families of circle maps

Dynamical Systems 2013-03-19 v1

Abstract

In this paper we will study families of circle maps of the form xx+2πr+af(x)(mod2π)x\mapsto x+2\pi r + a f(x) \pmod{2\pi} and investigate how many periodic trajectories maps from this family can have for a "typical" function ff provided the parameter aa is small.

Keywords

Cite

@article{arxiv.1303.4245,
  title  = {Cyclicity in families of circle maps},
  author = {O Kozlovski},
  journal= {arXiv preprint arXiv:1303.4245},
  year   = {2013}
}