Abstract

We consider a cubic center which is the linear one with two lines of singular points. We study the maximum number of limit cycles which bifurcate from its period annulus by perturbing it inside nth degree polynomial systems. We use the averaging method to reduce the problem to that of finding the maximum number of zeros for a real function of one variable. For this last problem we apply the argument principle of complex analysis.

This is a joint work with Jaume Llibre.