English

Isochronicity conditions for some planar polynomial systems

Dynamical Systems 2009-09-10 v2 Classical Analysis and ODEs

Abstract

We study the isochronicity of centers at OR2O\in \mathbb{R}^2 for systems x˙=y+A(x,y),y˙=x+B(x,y)\dot x=-y+A(x,y), \dot y=x+B(x,y), where A,BR[x,y]A, B\in \mathbb{R}[x,y], which can be reduced to the Lienard type equation. Using the so-called C-algorithm we have found 27 new multiparameter isochronous centers.

Cite

@article{arxiv.0907.1493,
  title  = {Isochronicity conditions for some planar polynomial systems},
  author = {Islam Boussaada and A. Raouf Chouikha and Jean-Marie Strelcyn},
  journal= {arXiv preprint arXiv:0907.1493},
  year   = {2009}
}

Comments

31 pages

R2 v1 2026-06-21T13:23:00.265Z