A Note About Pruning and Hénon Maps

• Valentín Mendoza ^[1]
  1. [1] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 12, Nº 2, 2013, págs. 443-448
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that there exists a C1-open set U of diffeomorphisms of the plane that consists of pruning diffeomorphisms of the horseshoe (up to a conjugacy), with the property that the C0-closure of U contains all Hénon map in the boundary of the real horseshoe locus.