Limit cycles for a class of third-order differential equations

Jaume Llibre, Jiang Yu, Xiang Zhang

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

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
Volume40
Issue number2
DOIs
Publication statusPublished - 1 Jul 2010

Keywords

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

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