Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660559 | Topology and its Applications | 2007 | 5 Pages |
Abstract
We present, as a simpler alternative for the results of [P. Kościelniak, On genericity of shadowing and periodic shadowing property, J. Math. Anal. Appl. 310 (2005) 188–196; P. Kościelniak, M. Mazur, On C0 genericity of various shadowing properties, Discrete Contin. Dynam. Syst. 12 (2005) 523–530], an elementary proof of C0 genericity of the periodic shadowing property. We also characterize chaotic behavior (in the sense of being semiconjugated to a shift map) of shadowing systems.
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