Global centers of a class of cubic polynomial differential systems
Dynamical Systems
2023-10-12 v1
Abstract
A difficult classical problem in the qualitative theory of differential systems in the plane is the center-focus problem, i.e. to distinguish between a focus and a center. Another difficult problem is to distinguish inside a family of centers the ones which are global. A global center is a center such that is filled with periodic orbits. In this paper we classify the global centers of the family of real polynomial differential systems of degree that in complex notation write where and for .
Keywords
Cite
@article{arxiv.2310.07454,
title = {Global centers of a class of cubic polynomial differential systems},
author = {Jaume Llibre and Gabriel Rondón},
journal= {arXiv preprint arXiv:2310.07454},
year = {2023}
}