On a variant of Hilbert's 16th problem
Dynamical Systems
2024-11-07 v3
Abstract
We study the number of limit cycles that a planar polynomial vector field can have as a function of its number of monomials. We prove that the number of limit cycles increases at least quadratically with and we provide good lower bounds for .
Cite
@article{arxiv.2405.04281,
title = {On a variant of Hilbert's 16th problem},
author = {Armengol Gasull and Paulo Santana},
journal= {arXiv preprint arXiv:2405.04281},
year = {2024}
}