The Poincaré center problem

Henryk Zoła̧dek, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

14 Citations (Scopus)

Abstract

We present two examples of real planar polynomial vector fields with an orbitally linearizable saddle point such that they are neither rationally reversible nor Liouvillian integrable. We show that vector fields from one of these examples form an isolated component of the so-called integrable saddle variety. Next, we discuss the problem of partial duality between real centers and real integrable saddles and the problem of continuous moduli for the center variety. © Springer Science+Business Media, LLC 2008.
Original languageEnglish
Pages (from-to)505-535
JournalJournal of Dynamical and Control Systems
Volume14
Issue number4
DOIs
Publication statusPublished - 16 Oct 2008

Keywords

  • Center
  • Integrable saddle
  • Polynomial vector field

Fingerprint

Dive into the research topics of 'The Poincaré center problem'. Together they form a unique fingerprint.

Cite this