Periodic orbits in the case of a zero eigenvalue
Dynamical Systems
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We will show that if a dynamical system has enough constants of motion then a Moser-Weinstein type theorem can be applied for proving the existence of periodic orbits in the case when the linearized system is degenerate.
Cite
@article{arxiv.0705.2361,
title = {Periodic orbits in the case of a zero eigenvalue},
author = {Petre Birtea and Mircea Puta and Razvan Micu Tudoran},
journal= {arXiv preprint arXiv:0705.2361},
year = {2007}
}