主讲人：Joan Torregrosa 副教授 

单 位：西班牙巴塞罗那自治大学 

题 目： Upper bounds for the number of zeroes for some Abelian integrals 

时 间：2013年10月18日上午 10:20 

地 点：理科楼-408

摘 要： Consider the polynomial perturbation of a vector field x' = −yG(x, y), y'= xG(x, y) for a given set of critical points {G(x, y) = 0}.  For some special functions G,  the explicit computation of the Abelian integral that controls the bifurcation of limit cycles can be done. In this case, results for bounding the number of zeroes of a certain family of real functions are necessary to be studied.