Every period annulus is both reversible and symmetric
Classical Analysis and ODEs
2015-04-20 v1 Dynamical Systems
Abstract
We prove that for every planar differential system with a period annulus there exists an involution such that the system is -symmetric. We also prove that for for every planar differential system with a period annulus there exist infinitely many involutions such that the system is -reversible.
Cite
@article{arxiv.1504.04530,
title = {Every period annulus is both reversible and symmetric},
author = {Marco Sabatini},
journal= {arXiv preprint arXiv:1504.04530},
year = {2015}
}