Topological stability and shadowing of dynamical systems from measure theoretical viewpoint
DOI:
https://doi.org/10.12775/TMNA.2020.071Słowa kluczowe
Topological stability, topologically stable measure, shadowing propertyAbstrakt
In this paper it is proved that a topologically stable invariant measure has no sinks or sources in its support; an expansive homeomorphism is topologically stable if it exhibits a topologically stable nonatomic Borel support measure and a continuous map has the shadowing property if there exists an invariant measure with the shadowing property such that each almost periodic point is contained in the support of the invariant measure.Bibliografia
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Prawa autorskie (c) 2021 Topological Methods in Nonlinear Analysis
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