Conjugacy problem of strictly monotone maps with only one jump discontinuity
Dynamical Systems
2019-07-04 v1
Abstract
The conjugacy problem is one of the central questions in iteration theory. As far as we, for discontinuous strictly monotone maps there is no complete result. In this paper, we investigate the conjugacy problem of strictly monotone maps with only one jump discontinuity. We give some sufficient and necessary conditions for the conjugacy relationship. And we present some methods to construct all conjugacies. Furthermore, we present the conditions to guarantee smoothness of these conjugacies.
Cite
@article{arxiv.1907.01887,
title = {Conjugacy problem of strictly monotone maps with only one jump discontinuity},
author = {Jinghua Liu and Yong-Guo Shi},
journal= {arXiv preprint arXiv:1907.01887},
year = {2019}
}
Comments
14 pages, 10 figures