Exponential limit shadowing

S. A. Ahmadi; M. R. Molaei

Annales Polonici Mathematici (2013)

  • Volume: 108, Issue: 1, page 1-10
  • ISSN: 0066-2216

Abstract

top
We introduce the notion of exponential limit shadowing and show that it is a persistent property near a hyperbolic set of a dynamical system. We show that Ω-stability implies the exponential limit shadowing property.

How to cite

top

S. A. Ahmadi, and M. R. Molaei. "Exponential limit shadowing." Annales Polonici Mathematici 108.1 (2013): 1-10. <http://eudml.org/doc/281093>.

@article{S2013,
abstract = {We introduce the notion of exponential limit shadowing and show that it is a persistent property near a hyperbolic set of a dynamical system. We show that Ω-stability implies the exponential limit shadowing property.},
author = {S. A. Ahmadi, M. R. Molaei},
journal = {Annales Polonici Mathematici},
keywords = {shadowing; hyperbolic set; -stability; expansive map},
language = {eng},
number = {1},
pages = {1-10},
title = {Exponential limit shadowing},
url = {http://eudml.org/doc/281093},
volume = {108},
year = {2013},
}

TY - JOUR
AU - S. A. Ahmadi
AU - M. R. Molaei
TI - Exponential limit shadowing
JO - Annales Polonici Mathematici
PY - 2013
VL - 108
IS - 1
SP - 1
EP - 10
AB - We introduce the notion of exponential limit shadowing and show that it is a persistent property near a hyperbolic set of a dynamical system. We show that Ω-stability implies the exponential limit shadowing property.
LA - eng
KW - shadowing; hyperbolic set; -stability; expansive map
UR - http://eudml.org/doc/281093
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.