On Urabe's criteria of isochronicity
Chaotic Dynamics
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
We give a short proof of Urabe's criteria for the isochronicity of periodical solutions of the equation . We show that apart from the harmonic oscillator there exists a large family of isochronous potentials which must all be non-polynomial and not symmetric (an even function of the coordinate x).
Keywords
Cite
@article{arxiv.nlin/0003065,
title = {On Urabe's criteria of isochronicity},
author = {Marko Robnik and Valery G. Romanovski},
journal= {arXiv preprint arXiv:nlin/0003065},
year = {2009}
}
Comments
8 pages