DIFFEOMORPHISMS WITH THE STABLY ASYMPTOTIC AVERAGE SHADOWING PROPERTY

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Published: Nov 15, 2010
DOI: https://doi.org/10.14403/jcms.2010.23.4.617
Keywords:
asymptotic average shadowing, shadowing, dominated splitting, chain transitive
Mathematics Subject Classification (2020):
Primary 37D30, 34D05, 37C20

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Manseob Lee
Department of Mathematics, Mokwon University

Abstract





Let p be a hyperbolic periodic point of f, and let Λ(p) be a closed set which containing p. In this paper, we show that C 1generically, if f |Λ(p) has the C 1-stably asymptotic average shadowing property, then it admits a dominated splitting.





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Article Details

Issue
Vol. 23 No. 4 (2010)
Section
Articles