Weak Horseshoe with bounded-gap-hitting times
Dynamical Systems
2019-12-25 v1
Abstract
In this paper, we consider weak horseshoe with bounded-gap-hitting times. For a flow , it is shown that if the time one map has weak horseshoe with bounded-gap-hitting times, so is for all . In addition, we prove that for an affine homeomorphsim of a compact metric abelian group, positive topological entropy is equivalent to weak horseshoe with bounded-gap-hitting times.
Cite
@article{arxiv.1912.11307,
title = {Weak Horseshoe with bounded-gap-hitting times},
author = {Leiye Xu and Junren Zheng},
journal= {arXiv preprint arXiv:1912.11307},
year = {2019}
}