A note on generic chaos
Annales Polonici Mathematici, Tome 59 (1994) no. 2, pp. 99-105
We consider dynamical systems on a separable metric space containing at least two points. It is proved that weak topological mixing implies generic chaos, but the converse is false. As an application, some results of Piórek are simply reproved.
Mots-clés :
metric space, dynamical system, topological mixing, generic chaos
@article{10_4064_ap_59_2_99_105,
author = {Gongfu Liao},
title = {A note on generic chaos},
journal = {Annales Polonici Mathematici},
pages = {99--105},
year = {1994},
volume = {59},
number = {2},
doi = {10.4064/ap-59-2-99-105},
language = {de},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-59-2-99-105/}
}
Gongfu Liao. A note on generic chaos. Annales Polonici Mathematici, Tome 59 (1994) no. 2, pp. 99-105. doi: 10.4064/ap-59-2-99-105
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