Expansive flows of surfaces

Alfonso Artigue

doi:10.3934/dcds.2013.33.505

Article Contents

2013, Volume 33, Issue 2: 505-525. Doi: 10.3934/dcds.2013.33.505

This issue Previous Article Inertial manifolds for a class of non-autonomous semilinear parabolic equations with finite delay Next Article Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices

Expansive flows of surfaces

Alfonso Artigue^1,

1.
Departamento de Matemática y Estadística del Litoral, Universidad de la República, Gral. Rivera 1350, Salto

Received: August 2011

Revised: July 2012

Published: February 2013

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Abstract

We prove that a flow without singular points of index zero on a compact surface is expansive if and only if the singularities are of saddle type and the union of their separatrices is dense. Moreover we show that such flows are obtained by surgery on the suspension of minimal interval exchange maps.

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Mathematics Subject Classification: Primary: 37E35; Secondary: 37E05, 37D50.

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