Robust transitivity of maps of the real line

Sergio Muñoz

doi:10.3934/dcds.2015.35.1163

Article Contents

2015, Volume 35, Issue 3: 1163-1177. Doi: 10.3934/dcds.2015.35.1163

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Robust transitivity of maps of the real line

Sergio Muñoz^1,

1.
Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias y Tecnología, Barquisimeto

Received: February 2014

Revised: March 2014

Published: March 2015

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Abstract

In the set of continuously differentiable maps of the real line with a discontinuity, equipped with the uniform topology, it will be shown that the subset of transitive ones has nonempty interior.

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Mathematics Subject Classification: Primary: 37D20; Secondary: 37E99.

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