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

The selecting Lemma of Liao

Lan Wen 1,

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.
Keywords: quasi-hyperbolic string, dominated splitting, selecting, shadowing..
Mathematics Subject Classification: 37D3.
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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