On almost specification and average shadowing properties

• Autorzy: Marcin Kulczycki , Dominik Kwietniak , Piotr Oprocha
• Języki publikacji: EN

Abstrakty

EN

We study relations between the almost specification property, the asymptotic average shadowing property and the average shadowing property for dynamical systems on compact metric spaces. We show implications between these properties and relate them to other important notions such as shadowing, transitivity, invariant measures, etc. We provide examples showing that compactness is a necessary condition for these implications to hold. As a consequence, we also obtain a proof that limit shadowing in chain transitive systems implies shadowing.

Kategorie tematyczne

• 37D45: Strange attractors, chaotic dynamics
• 34D05: Asymptotic properties
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 224
• Numer: 3
• Strony: 241-278

Daty

wydano

2014

Twórcy

autor

Marcin Kulczycki

• Faculty of Mathematics and, Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Dominik Kwietniak

• Faculty of Mathematics and, Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Piotr Oprocha

• AGH University of Science and Technology, Faculty of Applied Mathematics, Al. A. Mickiewicza 30, 30-059 Kraków, Poland
• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm224-3-4