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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-1, author = {S. A. Ahmadi and M. R. Molaei}, title = {Exponential limit shadowing}, journal = {Annales Polonici Mathematici}, volume = {107}, year = {2013}, pages = {1-10}, zbl = {1268.37022}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-1} }
S. A. Ahmadi; M. R. Molaei. Exponential limit shadowing. Annales Polonici Mathematici, Tome 107 (2013) pp. 1-10. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-1/