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arXiv · 2007.01600

Upper bounds of limit cycles in Abel differential equations with invariant curves

José Luis Bravo Trinidad·Luis Ángel Calderón Pérez·Manuel Fernández García-Hierro
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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.

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José Luis Bravo Trinidad, Luis Ángel Calderón Pérez, Manuel Fernández García-Hierro. 2020-07-03. Upper bounds of limit cycles in Abel differential equations with invariant curves. https://arxiv.org/abs/2007.01600

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