New criteria for the existence and non-existence of limit cycles in Lienard differential systems

Armengol Gasull, Hector Giacomini, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

We provide several new criteria for the non-existence and the existence of limit cycles in Lienard differential systems. Some of these criteria generalize and improve previous ones. Their proofs are based on a general result for planar autonomous differential system that gives an upper bound for the number of limit cycles surrounding the same singular point.
Original languageEnglish
Pages (from-to)171-185
JournalDynamical Systems
Volume24
DOIs
Publication statusPublished - 1 Jun 2009

Keywords

  • Lienard system
  • Limit cycles
  • Non-existence
  • Uniqueness

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