Properties of dynamical systems with the asymptotic average shadowing property
Volume 212 / 2011
Fundamenta Mathematicae 212 (2011), 35-52
MSC: Primary 37B05; Secondary 34D05, 37D45.
DOI: 10.4064/fm212-1-3
Abstract
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.
