Lan Wen - School of Mathematic Sciences, Peking University, Beijing, 100871, China (email)
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.
Keywords: selecting, quasi-hyperbolic string,
dominated splitting, shadowing.
Received: February 2007; Revised: August 2007; Published: October 2007.
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