Two-Sided Limit Shadowing Property on Iterated Function Systems
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Authors: M. MOHTASHAMIPOUR AND A. Z. BAHABADI
DOI: 10.46793/KgJMat2001.113M
Abstract:
In this article, we introduce the two-sided limit shadowing property on an iterated function system (IFS) and attain some results such as totally transitivity, and shadowing property. Also, by means of the strong shadowing property, we achieve topologically mixing for this IFS. Then, we study the strong two-sided limit shadowing property and obtain the topologically mixing property, immediately. Moreover, we find a criterion to obtain the two-sided limit shadowing property.
Keywords:
Iterated function system, two-sided limit shadowing property, totally transitive, topologically mixing, skew product.
References:
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