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.
|Number of pages||18|
|Journal||Nonlinear Analysis: Theory, Methods & Applications|
|Publication status||Published - 01 Jul 2007|
- Differential equations
- Isochronous centres