Global isochronous potentials
Dynamical Systems
2013-02-21 v7 Exactly Solvable and Integrable Systems
Abstract
We present a geometric characterization of the nonlinear smooth functions for which the origin is a global isochronous center for the scalar equation . We revisit Stillinger and Dorignac isochronous potentials and show a new simple explicit family. Implicit examples are easily produced.
Cite
@article{arxiv.1205.0204,
title = {Global isochronous potentials},
author = {Gianluca Gorni and Gaetano Zampieri},
journal= {arXiv preprint arXiv:1205.0204},
year = {2013}
}