Forcing minimal patterns of triods
Dynamical Systems
2023-03-10 v3
Abstract
\emph{Rotation numbers} for some maps of \emph{triods} was introduced in \cite{BMR}. The goal of this paper is to study \emph{patterns} of \emph{triods} which don't force other \emph{patterns} with the same \emph{rotation number} which we name \emph{triod twists}. We obtain their complete characterization and show that these \emph{patterns} can be conjugated to \emph{circle rotation} by a \emph{piecewise monotone} map. We also describe the dynamics of \emph{unimodal triod twist patterns} with a given rational \emph{rotation number}.
Keywords
Cite
@article{arxiv.2111.07088,
title = {Forcing minimal patterns of triods},
author = {Sourav Bhattacharya},
journal= {arXiv preprint arXiv:2111.07088},
year = {2023}
}
Comments
18 pages, 6 figures