Polynomial inverse integrating factors for quadratic differential systems

Bartomeu Coll, Antoni Ferragut, Jaume Llibre

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Abstract

We characterize all the quadratic polynomial differential systems having a polynomial inverse integrating factor and provide explicit normal forms for such systems and for their associated first integrals. We also prove that these families of quadratic systems have no limit cycles. © 2010 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)881-914
JournalNonlinear Analysis, Theory, Methods and Applications
Volume73
Issue number4
DOIs
Publication statusPublished - 15 Aug 2010

Keywords

  • Darboux theory of integrability
  • Polynomial inverse integrating factor
  • Quadratic differential systems

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    Coll, B., Ferragut, A., & Llibre, J. (2010). Polynomial inverse integrating factors for quadratic differential systems. Nonlinear Analysis, Theory, Methods and Applications, 73(4), 881-914. https://doi.org/10.1016/j.na.2010.04.004