Diffeomorphisms with Lp-Shadowing Property

Diffeomorphisms with Lp-Shadowing Property

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摘要 We give a characterization of structurally stable diffeomorphisms by making use of the notion of LP-shadowing property. More precisely, we prove that the set of structurally stable diffeomorphisms coincides with the C1-interior of the set of diffeomorphisms having LP-shadowing property. We give a characterization of structurally stable diffeomorphisms by making use of the notion of LP-shadowing property. More precisely, we prove that the set of structurally stable diffeomorphisms coincides with the C1-interior of the set of diffeomorphisms having LP-shadowing property.

作者 Abbas FAKHARI

机构地区 School of Mathematics and Computer Sciences

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第1期19-28,共10页 数学学报（英文版）

关键词 LP-shadowing C1-interior structurally stable diffeomorphism LP-shadowing, C1-interior, structurally stable diffeomorphism

分类号 O186.12 [理学—基础数学] O193 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2011年第1期

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Diffeomorphisms with Lp-Shadowing Property

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