The period of the limit cycle bifurcating from a persistent polycycle

David Marín, Lucas Queiroz, Jordi Villadelprat

We consider smooth families of planar polynomial vector fields $\{X_{\mu }{\}}_{\mu \in \Lambda }$, where $\Lambda$ is an open subset of ${\mathbb{R}}^N$, for which there is a hyperbolic polycycle $\Gamma$ that…