S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps
Dynamical Systems
2021-04-12 v1
Abstract
In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic property also for continuous circle maps. In particular, this implies that classical shadowing, periodic shadowing and limit shadowing are generic in these two settings as well.
Keywords
Cite
@article{arxiv.2104.03999,
title = {S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps},
author = {Jozef Bobok and Jernej Činč and Piotr Oprocha and Serge Troubetzkoy},
journal= {arXiv preprint arXiv:2104.03999},
year = {2021}
}