Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants

Jaume Llibre, Regilene D.S. Oliveira

Research output: Contribution to journalArticleResearchpeer-review

8 Citations (Scopus)

Abstract

© 2015 World Scientific Publishing Company. In this paper, we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.
Original languageEnglish
Article number1450018
JournalCommunications in Contemporary Mathematics
Volume17
Issue number3
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • Darboux invariant
  • phase portraits
  • Quadratic vector fields

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