The selecting Lemma of Liao

Lan Wen

doi:10.3934/dcds.2008.20.159

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2008, Volume 20, Issue 1: 159-175. Doi: 10.3934/dcds.2008.20.159

This issue Previous Article Relative Morse indices, Fredholm indices, and group velocities Next Article Preface

The selecting Lemma of Liao

Lan Wen^1,

1.
School of Mathematic Sciences, Peking University, Beijing, 100871

Received: January 31, 2007

Revised: July 31, 2007

Published: December 2007

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Abstract

The selecting lemma of Liao selects, under certain conditions of a non-hyperbolic setting, a special kind of orbits of finite length, called quasi-hyperbolic strings, which can be shadowed by true orbits. In this article we give an exposition on this lemma, and illustrate some recent applications.

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Mathematics Subject Classification: 37D30.

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