Rational Limit Cycles of Abel Differential Equations
Classical Analysis and ODEs
2023-02-22 v1
Abstract
We study the number of rational limit cycles of the Abel equation , where and are real trigonometric polynomials. We show that this number is at most the degree of plus one.
Keywords
Cite
@article{arxiv.2302.10743,
title = {Rational Limit Cycles of Abel Differential Equations},
author = {José Luis Bravo Trinidad and Luis Ángel Calderón Pérez and Ignacio Ojeda Martínez de Castilla},
journal= {arXiv preprint arXiv:2302.10743},
year = {2023}
}