Centers with equal period functions
Classical Analysis and ODEs
2015-01-29 v1 Dynamical Systems
Abstract
We give a sufficient condition for systems with symmetries to have periodic solutions with equal periods. We show that the main result can be applied both to Hamiltonian and to non-Hamiltonian systems. We apply the main results to produce planar centers with equal period functions.
Keywords
Cite
@article{arxiv.1501.07122,
title = {Centers with equal period functions},
author = {Marco Sabatini},
journal= {arXiv preprint arXiv:1501.07122},
year = {2015}
}
Comments
12 pages, no figures