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)


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
Issue number1
Publication statusPublished - 01 Jul 2007


  • Differential equations
  • Isochronous centres


Dive into the research topics of 'Algorithmic derivation of isochronicity conditions'. Together they form a unique fingerprint.

Cite this