Limit cycles for a class of second order differential equations

Jaume Llibre, Ernesto Perez-Chavela

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)


We study the limit cycles of a wide class of second order differential equations, which can be seen as a particular perturbation of the harmonic oscillator. In particular, by choosing adequately the perturbed function we show, using the averaging theory, that it is possible to obtain as many limit cycles as we want. © 2011 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)1080-1083
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number7
Publication statusPublished - 14 Feb 2011


  • Averaging theory
  • Limit cycle
  • Second order differential equation


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