Limit cycles for a class of third-order differential equations

Jaume Llibre, Jiang Yu, Xiang Zhang

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)


In this paper we study the limit cycles of the third-order differential equation x - μẍ + ẋ - μx = εF(x, ẋ, ẍ, t), where μ ≠ 0, ε is small enough and F ∈ C2 is a 2π-periodic function of variable t. Copyright ©2010 Rocky Mountain Mathematics Consortium.
Original languageEnglish
Pages (from-to)581-594
JournalRocky Mountain Journal of Mathematics
Issue number2
Publication statusPublished - 1 Jul 2010


  • Averaging theory
  • Limit cycle
  • Perturbation of centers
  • Third-order differential equation


Dive into the research topics of 'Limit cycles for a class of third-order differential equations'. Together they form a unique fingerprint.

Cite this