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- W2353751459 abstract "Let(X,d) be a compact metric space and f:X→X be continuous.And let n be a given positive integer.In this paper,the following statements were proved: f is chaintransitive if and only if fn is chaintransitive;if a homeomorphismf is a Lipschitz map,then f has the average shadowing property if and only if fn has the average shadowing property.Let f be a homeomorphism,the following statements were obtained: if f is distal and has POTP,then fn does not have the average shadowing property;if f is equicontinuous and has the average shadowing property,then fn is minimal;let f:X→X be distal and chaintransitive,then fn does not have POTP;f is distal if and only if fn is distal.At the same time,the following example was given: Let σ:∑(S)→∑(S)(resp.)σ:∑+(S)→∑+(S)) be the shift map on the symbolic space and S=｛0,1,…,k-1｝.then σ(resp.σ+)has the average shadowing property if and only if σn(resp.σn+) has the average shadowing property." @default.
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- W2353751459 date "2007-01-01" @default.
- W2353751459 modified "2023-09-24" @default.
- W2353751459 title "Research on Average Shadowing Property and Pseudo-orbit Tracing Property" @default.
- W2353751459 hasPublicationYear "2007" @default.
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