On the mechanisms for producing linear type centers in polynomial differential systems

Jaume Giné, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

© 2018 Independent University of Moscow. In this paper we study the mechanisms that provide linear type centers in the polynomial differential systems. These mechanisms are the algebraic reducibility and the Liouvillian integrability. We state a conjecture and some open questions. These mechanisms also explain all the known nilpotent and degenerate centers.
Original languageEnglish
Pages (from-to)409-420
JournalMoscow Mathematical Journal
Volume18
Issue number3
Publication statusPublished - 1 Jul 2018

Keywords

  • Algebraic reducibility
  • Center problem
  • Louville integrability
  • Polynomial differential systems

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