Answering two open problems on Banks theorem for non-autonomous dynamical systems
Dynamical Systems
2019-10-03 v1
Abstract
This paper shows that (1) there exists a topologically transitive NADS having two disjoint invariant periodic orbits with dense periodic points, which is finitely generated but not periodic; (2) there exists a topologically transitive non-finitely generated NADS having two disjoint invariant periodic orbits with dense periodic point, which is not sensitive. This answers positively the Open Problems 4.1 and 4.2 posed in [8].
Cite
@article{arxiv.1910.00934,
title = {Answering two open problems on Banks theorem for non-autonomous dynamical systems},
author = {Xinxing Wu and Guanrong Chen},
journal= {arXiv preprint arXiv:1910.00934},
year = {2019}
}