On persistent centers

Anna Cima, Armengol Gasull, João C. Medrado

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

For real planar autonomous analytic differential equations we introduce the notion of persistent center and show a list of equations with this property. We face the problem of whether our list is exhaustive or not and we prove that it is for several families of planar systems, like cubic or rigid systems. © 2008.
Original languageEnglish
Pages (from-to)644-657
JournalBulletin des Sciences Mathematiques
Volume133
DOIs
Publication statusPublished - 1 Sep 2009

Keywords

  • Center-focus problem
  • Lyapunov constants
  • Melnikov functions

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