We introduce the notions of asymptotic period and asymptotically periodic orbits in metric spaces. We study some properties of these notions and their connections with ω-limit sets. We also discuss the notion of growth rate of such orbits and describe its properties in an extreme case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm139-2-6,
author = {Karol Gryszka},
title = {Asymptotic period in dynamical systems in metric spaces},
journal = {Colloquium Mathematicae},
volume = {139},
year = {2015},
pages = {245-257},
zbl = {06424827},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm139-2-6}
}
Karol Gryszka. Asymptotic period in dynamical systems in metric spaces. Colloquium Mathematicae, Tome 139 (2015) pp. 245-257. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm139-2-6/