Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 33 No. 2 (2015): Revista Integración
Research and Innovation Articles

On the existence of limit cycles for some planar vector fields

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  • L. Rocío González-Ramírez,
  • Osvaldo Osuna,
  • Rubén Santaella-Forero
L. Rocío González-Ramírez
Universidad Michoacana de San Nicolás de Hidalgo. Catedrática Conacyt.
Osvaldo Osuna
Universidad Michoacana de San Nicolás de Hidalgo
Rubén Santaella-Forero
Universidad Michoacana de San Nicolás de Hidalgo
DOI: https://doi.org/10.18273/revint.v33n2-2015008

Published 2015-12-04

Keywords

  • Poincaré-Bendixson theorem,
  • trapping region,
  • Liénard equation,
  • limit cycles

How to Cite

González-Ramírez, L. R., Osuna, O., & Santaella-Forero, R. (2015). On the existence of limit cycles for some planar vector fields. Revista Integración, Temas De matemáticas, 33(2), 191–198. https://doi.org/10.18273/revint.v33n2-2015008

Abstract

In this work, we prove the existence of limit cycles in planar systems that can be written as appropriate perturbations of Hamiltonian systems. In particular, we obtain criteria for the existence of limit cycles for Liénard-type systems. We present examples in order to illustrate our results.

To cite this article:L.R. González-Ramírez, O. Osuna, R. Santaella-Forero, On the existence of limit cycles for some planar vector fields, Rev. Integr. Temas Mat. 33 (2015), No.2, 191–198.

 
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