Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves

Jaume Llibre, Jiang Yu

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© 2018 Texas State University. In this article we consider a class of quadratic polynomial differential systems in the plane having a hyperbola and a straight line as invariant algebraic curves, and we classify all its phase portraits. Moreover these systems are integrable and we provide their first integrals.
Original languageEnglish
Article number141
JournalElectronic Journal of Differential Equations
Volume2018
Publication statusPublished - 11 Jul 2018

Keywords

  • First integral
  • Global phase portraits
  • Invariant hperbola
  • Invariant straight line
  • Quadratic system

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