CRM: Centro De Giorgi
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School on Hyperbolic Dynamics

poster: Various shadowing properties for parameterized iterated function systems

speaker: Seyyed Alireza Ahmadi (University of Sistan and Baluchestan)

abstract: In this paper we generalize the notions of limit shadowing property and exponential limit shadowing property to parameterized iterated function systems IFS and prove some related theorems on these notions. It is proved that every uniformly contracting and every uniformly expanding IFS has the exponential limit shadowing property. Then, as an example, we give an IFS which has the limit shadowing property, but fails to have the exponential limit shadowing property and compare this result with similar ones in original discrete dynamical systems

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