A simple computable criteria for the existence of horseshoes

Salvador Addas-Zanata

doi:10.3934/dcds.2007.17.365

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2007, Volume 17, Issue 2: 365-370. Doi: 10.3934/dcds.2007.17.365

This issue Previous Article N-vortex equilibrium theory Next Article Gap solitons in periodic discrete nonlinear Schrödinger equations II: A generalized Nehari manifold approach

A simple computable criteria for the existence of horseshoes

Salvador Addas-Zanata^1,

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

Received: November 30, 2005

Revised: August 31, 2006

Published: April 2007

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Abstract

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.

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Mathematics Subject Classification: 37E40, 37E30, 37D25.

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