Detection of Special Curves Via the Double Resultant

Antoni Ferragut, Johanna D. García-Saldaña, Armengol Gasull

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

© 2015, Springer International Publishing. 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.
Original languageEnglish
Pages (from-to)101-117
JournalQualitative Theory of Dynamical Systems
Volume16
Issue number1
DOIs
Publication statusPublished - 1 Apr 2017

Keywords

  • Integrability
  • Offset of curves
  • Remarkable curves
  • Resultant

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