Properties of dynamical systems with the asymptotic average shadowing property

Marcin Kulczycki, and Piotr Oprocha. "Properties of dynamical systems with the asymptotic average shadowing property." Fundamenta Mathematicae 212.1 (2011): 35-52. <http://eudml.org/doc/283207>.

@article{MarcinKulczycki2011,
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.},
author = {Marcin Kulczycki, Piotr Oprocha},
journal = {Fundamenta Mathematicae},
keywords = {AASP; shadowing; limit shadowing; pseudo-orbit},
language = {eng},
number = {1},
pages = {35-52},
title = {Properties of dynamical systems with the asymptotic average shadowing property},
url = {http://eudml.org/doc/283207},
volume = {212},
year = {2011},
}

TY - JOUR
AU - Marcin Kulczycki
AU - Piotr Oprocha
TI - Properties of dynamical systems with the asymptotic average shadowing property
JO - Fundamenta Mathematicae
PY - 2011
VL - 212
IS - 1
SP - 35
EP - 52
AB - 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.
LA - eng
KW - AASP; shadowing; limit shadowing; pseudo-orbit
UR - http://eudml.org/doc/283207
ER -