Dominated chain recurrent class with singularities

• Christian Bonatti ^[2] ; Shaobo Gan ^[3] ; Dawei Yang ^[1]
  1. [1] Soochow University

     Soochow University

     China

     
  2. [2] University of Burgundy

     University of Burgundy

     Arrondissement de Dijon, Francia

     
  3. [3] Peking University

     Peking University

     China

     

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• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 14, Nº 1, 2015, págs. 83-99
• Idioma: inglés
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• Resumen

  • We prove that for C1 generic three-dimensional vector fields, dominated chain recurrent classes with singularities and periodic orbits are singular hyperbolic.