English

On Chouikha's isochronicity criterion

Classical Analysis and ODEs 2012-02-01 v1

Abstract

Recently A.R.Chouikha gave a new characterization of isochronicity of center at the origin for the equation x"+g(x)=0x"+g(x)=0, where gg is a real smooth function defined in some neighborhood of 0R0 \in \R. We describe another proof of his characterization and some new development of the subject.

Cite

@article{arxiv.1201.6503,
  title  = {On Chouikha's isochronicity criterion},
  author = {Jean-Marie Strelcyn},
  journal= {arXiv preprint arXiv:1201.6503},
  year   = {2012}
}

Comments

8 pages

R2 v1 2026-06-21T20:12:27.495Z