# American Institute of Mathematical Sciences

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

## Inverse shadowing by continuous methods

 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.
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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