Limit cycles for a class of three-dimensional polynomial differential systems

Jaume Llibre, Jiang Yu

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

Perturbing the system ẋ= - y(1 + x) ẏ = x(1 + x), ż = 0 inside the family of polynomial differential systems of degree n in ℝ 3, we obtain at most n 2 limit cycles using the first-order averaging theory. Moreover, there exist such perturbed systems having at least n 2 limit cycles. © Springer Science+Business Media, LLC 2007.
Original languageEnglish
Pages (from-to)531-539
JournalJournal of Dynamical and Control Systems
Volume13
Issue number4
DOIs
Publication statusPublished - 1 Oct 2007

Keywords

  • Averaging theory
  • Limit cycle
  • Linear center
  • Polynomial differential system

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