A note on generic chaos
Annales Polonici Mathematici, Tome 59 (1994) no. 2, pp. 99-105
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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
Affiliations des auteurs :
Gongfu Liao 1
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author = {Gongfu Liao},
title = {A note on generic chaos},
journal = {Annales Polonici Mathematici},
pages = {99--105},
publisher = {mathdoc},
volume = {59},
number = {2},
year = {1994},
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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