# American Institute of Mathematical Sciences

January  2008, 20(1): 159-175. doi: 10.3934/dcds.2008.20.159

## The selecting Lemma of Liao

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

Received  February 2007 Revised  August 2007 Published  October 2007

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.
Citation: Lan Wen. The selecting Lemma of Liao. Discrete & Continuous Dynamical Systems - A, 2008, 20 (1) : 159-175. doi: 10.3934/dcds.2008.20.159
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