On the number of limit cycles of some systems on the cylinder

A. Gasull, M. J. Álvarez, R. Prohens

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

In this article we give two criteria for bounding the number of non-contractible limit cycles of a family of differential systems on the cylinder. This family includes Abel equations as well as the polar expression of several types of planar polynomial systems given by the sum of three homogeneous vector fields. © 2006 Elsevier Masson SAS. All rights reserved.
Original languageEnglish
Pages (from-to)620-637
JournalBulletin des Sciences Mathematiques
Volume131
DOIs
Publication statusPublished - 1 Oct 2007

Keywords

  • Abel equation
  • Limit cycle

Fingerprint

Dive into the research topics of 'On the number of limit cycles of some systems on the cylinder'. Together they form a unique fingerprint.

Cite this