arXiv subjects
Publications and source records attributed to O Kozlovski.
In this paper we will study families of circle maps of the form $x\mapsto x+2πr + a f(x) \pmod{2π}$ and investigate how many periodic trajectories maps from this family can have for a "typical" function $f$ provided the parameter $a$ is small.
In this paper we investigate how many periodic attractors maps in a small neighbourhood of a given map can have. For this purpose we develop new tools which help to make uniform cross-ratio distortion estimates in a neighbourhood of a map with degenerate critical points.