Display Abstract

Title Sufficient conditions to have a resonant complex center

Name Jaume Gin\'e
Country Spain
Email gine@matematica.udl.cat
Co-Author(s)
Submit Time 2014-01-30 06:09:49
Session
Special Session 103: Periodic solutions for dynamical systems
Contents
The notion of center is generalized to the case of a $p:-q$ resonant singular point of a polynomial vector field in $\mathbb{C}^2$. We give new methods to prove the sufficiency for a resonant singular point satisfying some necessary conditions and we provide a resume of the known techniques used to prove the sufficiency.