WEAK INVERSE SHADOWING AND Ω-STABILITY

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Published: May 15, 2004
DOI: https://doi.org/10.14403/jcms.2004.17.2.137
Keywords:
Ω-stable, weak inverse shadowing, topologically Ωstable
Mathematics Subject Classification (2020):
Primary 37C50, 37MM05

Main Article Content

Yong Zhang
Taeyoung Choi

Abstract





We give characterization of Ω-stable diffeomorphisms via the notions of weak inverse shadowing. More precisely, it is proved that the C 1 interior of the set of diffeomorphisms with the weak inverse shadowing property with respect to the class Th coincides with the set of Ω-stable diffeomorphisms.





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Article Details

Issue
Vol. 17 No. 2 (2004)
Section
Articles