Global phase portraits of some reversible cubic centers with collinear or infinitely many singularities

M. Caubergh*, J. Llibre, J. Torregrosa

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Abstract

We study the reversible cubic vector fields of the form = -y + ax 2 + bxy + cy2 - y(x2 + y2), = x + dx2 + exy + fy2 + x(x2 + y2), having simultaneously a center at infinity and at the origin. In this paper, the subclass of these reversible systems having collinear or infinitely many singularities are classified with respect to topological equivalence.

Original languageEnglish
Article number1250273
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume22
Issue number11
DOIs
Publication statusPublished - Nov 2012

Keywords

  • Center-focus problem
  • cubic vector fields
  • global classification of phase portraits
  • reversible planar vector fields

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