Inverse Shadowing and Weak Inverse Shadowing Property

B. Honary, Alireza Zamani Bahabadi

Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

DOI: 10.4236/am.2012.35072                

Abstract

In this paper we show that an -stable diffeomorphism has the weak inverse shadowing property with respect to classes of continuous method and and some of the -stable diffeomorphisms have weak inverse shadowing property with respect to classes . In addition we study relation between minimality and weak inverse shadowing property with respect to class and relation between expansivity and inverse shadowing property with respect to class .

Keywords

Inverse Shadowing Property; Minimal Homeomorphism; δ-Method; Positive Expansive

Conflicts of Interest

The authors declare no conflicts of interest.

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