Asymptotic period in dynamical systems in metric spaces

• Autorzy: Karol Gryszka
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37C15: Topological and differentiable equivalence, conjugacy, invariants, moduli, classification
• 37C35: Orbit growth
• 37C25: Fixed points, periodic points, fixed-point index theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 139
• Numer: 2
• Strony: 245-257

Daty

wydano

2015

Twórcy

autor

Karol Gryszka

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/cm139-2-6