Singular Points of Polynomial Darboux Systems

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We study the singular points of the differential systems of the form x˙=x+P(x,y),y˙=y+Q(x,y) where P(x, y) and Q(x, y) are homogeneous polynomials of degree n.

Original languageEnglish
Pages (from-to)909-930
Number of pages22
JournalQualitative Theory of Dynamical Systems
Issue number3
Publication statusPublished - 1 Dec 2019


  • Phase portraits
  • Poincaré equator
  • Polynomial systems
  • Singular points

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