Detection of Special Curves Via the Double Resultant

  1. Antoni Ferragut 1
  2. Johanna D. García-Saldaña 2
  3. Armengol Gasull 3
  1. 1 Universitat Jaume I
    info

    Universitat Jaume I

    Castelló de la Plana, España

    ROR https://ror.org/02ws1xc11

  2. 2 Universidad de Talca (Chile)
  3. 3 Universitat Autònoma de Barcelona
    info

    Universitat Autònoma de Barcelona

    Barcelona, España

    ROR https://ror.org/052g8jq94

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Revue:
Qualitative theory of dynamical systems

ISSN: 1575-5460

Année de publication: 2017

Volumen: 16

Número: 1

Pages: 101-117

Type: Article

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D'autres publications dans: Qualitative theory of dynamical systems

Résumé

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.

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Information sur le financement

The authors are partially supported by MINECO/ FEDER MTM2013-40998-P Grant. Johanna D. Garc?a-Salda?a is also partially supported by FONDECyT postdoctoral fellowship 3150131/2015. Armengol Gasull is also partially supported by Generalitat de Catalunya Grant 2014SGR568.

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