Upper bounds of limit cycles in Abel differential equations with invariant curves
Classical Analysis and ODEs
2020-07-06 v1
Abstract
New criteria are established for upper bounds on the number of limit cycles of periodic Abel differential equations having two periodic invariant curves, one of them bounded. The criteria are applied to obtain upper bounds of either zero or one limit cycle for planar differential systems.
Cite
@article{arxiv.2007.01600,
title = {Upper bounds of limit cycles in Abel differential equations with invariant curves},
author = {José Luis Bravo Trinidad and Luis Ángel Calderón Pérez and Manuel Fernández García-Hierro},
journal= {arXiv preprint arXiv:2007.01600},
year = {2020}
}
Comments
16 pages, 4 figures