Detection of Special Curves Via the Double Resultant

• Antoni Ferragut ^[1] ; Johanna D. García-Saldaña ^[2] ; Armengol Gasull ^[3]
  1. [1] Universitat Jaume I

     Universitat Jaume I

     Castellón, España

     
  2. [2] Universidad de Talca

     Universidad de Talca

     Provincia de Talca, Chile

     
  3. [3] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 1, 2017, págs. 101-117
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable values of rational first integrals of polynomial vector fields; bifurcation values in phase portraits of polynomial vector fields; and the different topologies of the offset of curves.