On persistent centers

Anna Cima, Armengol Gasull, João C. Medrado

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)


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
Publication statusPublished - 1 Sep 2009


  • Center-focus problem
  • Lyapunov constants
  • Melnikov functions


Dive into the research topics of 'On persistent centers'. Together they form a unique fingerprint.

Cite this