Asymptotic period in dynamical systems in metric spaces

Karol Gryszka. "Asymptotic period in dynamical systems in metric spaces." Colloquium Mathematicae 139.2 (2015): 245-257. <http://eudml.org/doc/283883>.

@article{KarolGryszka2015,
abstract = {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.},
author = {Karol Gryszka},
journal = {Colloquium Mathematicae},
keywords = {dynamical systems; asymptotic periodicity; $\omega $-limit set},
language = {eng},
number = {2},
pages = {245-257},
title = {Asymptotic period in dynamical systems in metric spaces},
url = {http://eudml.org/doc/283883},
volume = {139},
year = {2015},
}

TY - JOUR
AU - Karol Gryszka
TI - Asymptotic period in dynamical systems in metric spaces
JO - Colloquium Mathematicae
PY - 2015
VL - 139
IS - 2
SP - 245
EP - 257
AB - 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.
LA - eng
KW - dynamical systems; asymptotic periodicity; $\omega $-limit set
UR - http://eudml.org/doc/283883
ER -