Seminar: Uniqueness of limit cycles of complex differential equations with two monomials

It is a pleasure to announce the forthcoming seminar to be held online through the zoom link attached here. The seminar will be held by María Jesus Álvarez.

Date: 8th of April at 11.30pm
Title: Uniqueness of limit cycles of complex differential equations with two monomials
Abstract: We prove that the family of complex differential equations with two monomials, ż = az^k z̄^l + bz^m z̄^n, with k, l, m, n non negative integers and a, b ∈ C, has at most one limit cycle. Moreover, we characterize when it exists and prove that it is hyperbolic. For this family we also solve the center-focus problem.
Speaker: María Jesús Álvarez
Zoom link: https://uibuniversitat.zoom.us/j/95650458027
Meeting ID: 956 5045 8027