# Algebraic and analytic tools to study critical periodic orbits

Date:
04.05.15
Times:
15:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
In this talk I will present some recent results concerning critical period orbits, which in the context of the period function play an equivalent role to the limit cycles. We consider analytic planar differential systems having a first integral of the form $H(x,y)=A(x)+B(x)y+C(x)y^2$ and an integrating factor $\kappa(x)$ not depending on $y.$