On the limit cycles of quasihomogeneous polynomial systems

L. Rocío González-Ramírez, Osvaldo Osuna, Rubén Santaella-Forero

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, the nonexistence of limit cycles for classes of p - q- quasi-homogeneous polynomial planar systems of weighted degree l is estab- lished. Furthermore, we rule out the existence of limits cycles for certain per- turbations of such planar systems. We present applications and examples in order to illustrate our results.

Original languageEnglish
Pages (from-to)261-268
Number of pages8
JournalRevista Colombiana de Matematicas
Volume49
Issue number2
DOIs
StatePublished - 2015

Keywords

  • Integrating factors
  • Inverse integrating factors
  • Limit cycles
  • P - q-quasi-homogeneous systems

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