Global phase portraits of quadratic systems with an ellipse and a straight line as invariant algebraic curves

Jaume Llibre, Jiang Yu

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

© 2015 Texas State University. In this article we study a class of integrable quadratic systems and classify all its phase portraits. More precisely, we characterize the class of all quadratic polynomial differential systems in the plane having an ellipse and a straight line as invariant algebraic curves. We show that this class is integrable and we provide all the different topological phase portraits that this class exhibits in the Poincaré disc.
Original languageEnglish
JournalElectronic Journal of Differential Equations
Volume2015
Publication statusPublished - 24 Dec 2015

Keywords

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

Fingerprint Dive into the research topics of 'Global phase portraits of quadratic systems with an ellipse and a straight line as invariant algebraic curves'. Together they form a unique fingerprint.

Cite this