Resumen de Small-Amplitude Limit Cycles of Certain Planar Differential Systems

Jaume Giné Mesa , Claudia Valls

• In this work we consider the polynomial differential system x˙=-y+xf(y), y˙=x+yf(x), where f is a polynomial. This system is a certain generalization of the classical Liénard system. For that system, we solve the center problem for such family and compute the order of degeneracy of a weak focus for obtaining the maximum number of small-amplitude limit cycles.