Variational shadowing

Sergei Yu. Pilyugin

doi:10.3934/dcdsb.2010.14.733

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2010, Volume 14, Issue 2: 733-737. Doi: 10.3934/dcdsb.2010.14.733

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Variational shadowing

Sergei Yu. Pilyugin^1,

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

Received: June 2009

Published: September 2010

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Abstract

We introduce a variational shadowing property of diffeomorphisms and show that this property is equivalent to structural stability. Bibliography: 8 titles.

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Mathematics Subject Classification: Primary: 37C50, 37C20; Secondary: 37D20.

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