Algorithmic derivation of isochronicity conditions

Noel G. Lloyd, Jane M. Pearson, Joe M. Hill

Research output: Contribution to journalArticlepeer-review

14 Citations (SciVal)
202 Downloads (Pure)

Abstract

This paper is concerned with obtaining the conditions under which the origin is an isochronous centre for certain planar polynomial systems. The necessity of these conditions is proved using a computer implementation of an algorithm first proposed by I.I.Pleshkan. Their sufficiency is then proved using various methods.
Original languageEnglish
Pages (from-to)52-69
Number of pages18
JournalNonlinear Analysis: Theory, Methods & Applications
Volume67
Issue number1
DOIs
Publication statusPublished - 01 Jul 2007

Keywords

  • Differential equations
  • Isochronous centres

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