Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin

Claudio A. Buzzi, Jaume Llibre, João C.R. Medrado

Research output: Contribution to journalArticleResearchpeer-review

15 Citations (Scopus)

Abstract

In this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The reversibility is given by a linear involution having a fixed set of dimension 1. © 2008 Birkhäuser Verlag Basel/Switzerland.
Original languageEnglish
Pages (from-to)369-403
JournalQualitative Theory of Dynamical Systems
Volume7
DOIs
Publication statusPublished - 1 Dec 2009

Keywords

  • Cubic vector fields
  • Phase portrait
  • Reversible vector fields

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