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January  2002, 8(1): 29-38. doi: 10.3934/dcds.2002.8.29

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, Russian Federation

Received  January 2001 Revised  June 2001 Published  October 2001

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.
Keywords: pseudotrajectories, Dynamical systems, inverse shadowing, structural stability..
Mathematics Subject Classification: 37C5.
Citation: S. Yu. Pilyugin. Inverse shadowing by continuous methods. Discrete & Continuous Dynamical Systems, 2002, 8 (1) : 29-38. doi: 10.3934/dcds.2002.8.29
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