Asymptotic period in dynamical systems in metric spaces
Volume 139 / 2015
Colloquium Mathematicum 139 (2015), 245-257 MSC: Primary 37C25; Secondary 37C15, 37C35. DOI: 10.4064/cm139-2-6
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 $\omega $-limit sets. We also discuss the notion of growth rate of such orbits and describe its properties in an extreme case.