Inverse shadowing by continuous methods

S. Yu. Pilyugin

doi:10.3934/dcds.2002.8.29

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2002, Volume 8, Issue 1: 29-38. Doi: 10.3934/dcds.2002.8.29

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Inverse shadowing by continuous methods

S. Yu. Pilyugin^1,

1.
Faculty of Mathematics and Mechanics, St. Petersburg State University, University av., 28, 198504, St. Petersburg

Received: January 2001

Revised: June 2001

Published: January 2002

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Abstract

We show that a structurally stable diffeomorphism has the inverse shadowingproperty with respect to classes of continuous methods. We also show thatany diffeomorphism belonging to the $C^1$-interior of the set of diffeomorphisms withthe above-mentioned property is structurally stable.

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Mathematics Subject Classification: 37C50.

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