Exponential limit shadowing
Volume 108 / 2013
Annales Polonici Mathematici 108 (2013), 1-10
MSC: Primary 37C50; Secondary 37D05.
DOI: 10.4064/ap108-1-1
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 $\varOmega $-stability implies the exponential limit shadowing property.