Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3

Jaume Llibre, Regilene D.S. Oliveira

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Abstract

In this paper, we classify all the global phase portraits of the quadratic polynomial vector fields having a rational first integral of degree 3. © 2008 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)3549-3560
JournalNonlinear Analysis, Theory, Methods and Applications
Volume70
DOIs
Publication statusPublished - 15 May 2009

Keywords

  • Integrability
  • Phase portraits
  • Quadratic vector fields
  • Rational first integral

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    Llibre, J., & Oliveira, R. D. S. (2009). Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3. Nonlinear Analysis, Theory, Methods and Applications, 70, 3549-3560. https://doi.org/10.1016/j.na.2008.07.012