Generating limit cycles from a nilpotent critical point via normal forms

A. Gasull, M. J. Álvarez

Research output: Contribution to journalArticleResearchpeer-review

59 Citations (Scopus)

Abstract

It is well known that the normal form theory can be applied to solve the center-focus problem for monodromic planar nilpotent singularities. In this paper we see how this theory can also be applied to generate limit cycles from this type of singularities. © 2005 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)271-287
JournalJournal of Mathematical Analysis and Applications
Volume318
DOIs
Publication statusPublished - 1 Jun 2006

Keywords

  • Nilpotent singularity
  • Normal form theory
  • Planar vector filed

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