Properties of dynamical systems with the asymptotic average shadowing property

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

Abstrakty

EN

This article investigates under what conditions nontransitivity can coexist with the asymptotic average shadowing property. We show that there is a large class of maps satisfying both conditions simultaneously and that it is possible to find such examples even among maps on a compact interval. We also study the limit shadowing property and its relation to the asymptotic average shadowing property.

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: 2011
• Tom: 212
• Numer: 1
• Strony: 35-52

Daty

wydano

2011

Twórcy

autor

Marcin Kulczycki

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

autor

Piotr Oprocha

• Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain
• Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/fm212-1-3