On the Number of Limit Cycles in Two Classes of Polynomial Differential Systems

Yu Bao, Shimin Li, Jaume Llibre, Yulin Zhao

Research output: Contribution to journalArticleResearchpeer-review

Abstract

This paper deals with two classes of polynomial differential systems that are generalized rigid systems, i.e. differential systems whose orbits rotate with a constant angular velocity. We give bounds for the maximum number of limit cycles of such polynomial differential systems provided by the averaging theory of first-order.
Original languageEnglish
Article number2550070
Number of pages12
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume35
Issue number6
DOIs
Publication statusPublished - 25 Mar 2025

Keywords

  • Averaging theory
  • limit cycle
  • rigid differential system

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