A-coupled-expanding and distributional chaos
Dynamical Systems
2023-07-19 v2
Abstract
The concept of A-coupled-expanding map, which is one of the more natural and useful ideas generalized the horseshoe map, is well known as a criterion of chaos. It is well known that distributional chaos is one of the concepts which reflect strong chaotic behaviour. In this paper, we focus the relations between A-coupled-expanding and distributional chaos. We prove two theorems that give sufficient conditions for a strictly A-coupled-expanding map to be distributionally chaotic in the senses of two kinds, where A is an irreducible transition matrix.
Keywords
Cite
@article{arxiv.1401.2349,
title = {A-coupled-expanding and distributional chaos},
author = {Cholsan Kim and Hyonhui Ju and Peter Raith},
journal= {arXiv preprint arXiv:1401.2349},
year = {2023}
}
Comments
10 pages