The period function and the harmonic balance method
Dynamical Systems
2013-10-07 v1
Abstract
In this paper we consider several families of potential non-isochronous systems and study their associated period functions. Firstly, we prove some properties of these functions, like their local behavior near the critical point or infinity, or their global monotonicity. Secondly, we show that these properties are also present when we approach to the same questions using the Harmonic Balance Method.
Cite
@article{arxiv.1310.1215,
title = {The period function and the harmonic balance method},
author = {Johanna D. García-Saldaña and Armengol Gasull},
journal= {arXiv preprint arXiv:1310.1215},
year = {2013}
}
Comments
23 pages, 2 figures