A simple computable criteria for the existence of horseshoes

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April 2007, 17(2): 365-370. doi: 10.3934/dcds.2007.17.365

A simple computable criteria for the existence of horseshoes

1.	Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, Cidade Universitária, 05508-090 São Paulo, SP, Brazil

Received December 2005 Revised September 2006 Published November 2006

Abstract
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In this note we present a simple computable criteria that assures the existence of hyperbolic horseshoes for certain diffeomorphisms of the torus. The main advantage of our method is that it is very easy to check numerically whether the criteria is satisfied or not.

Keywords: Pesin theory., Nielsen-Thurston theory, twist mappings.

Mathematics Subject Classification: 37E40, 37E30, 37D2.

Citation: Salvador Addas-Zanata. A simple computable criteria for the existence of horseshoes. Discrete & Continuous Dynamical Systems - A, 2007, 17 (2) : 365-370. doi: 10.3934/dcds.2007.17.365

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