On $n$-scrambled tuples and distributional chaos in a sequence
Dynamical Systems
2013-07-16 v1
Abstract
The main aim of the present paper is to study relations between -scrambled tuples and their attraction-adherence properties with respect to various sequences of integers. This extends previous research on relations between chaos in the sense of Li and Yorke and distributional chaos with respect to a given sequence. Moreover, we construct a system which is -distributionally chaotic but not -chaotic.
Cite
@article{arxiv.1205.6859,
title = {On $n$-scrambled tuples and distributional chaos in a sequence},
author = {Jian Li and Piotr Oprocha},
journal= {arXiv preprint arXiv:1205.6859},
year = {2013}
}
Comments
15 pages, to appear in J DIFFER EQU APPL