中科院数学与系统科学研究院
数学研究所
动力系统研究中心
学术报告会
报告人：Prof. Rafael de la Llave（Inst. Georgia Tech., USA）
题 目：Asymptotic expansions and domains of analyticity for response solutions in singularly perturbed ODE's and PDE's
时 间：07.02（星期三）, 16:30--17:30
地 点：数学院南楼N913室
Abstract：
We consider several nonlinear second order evolution equations subject to large friction and quasi-periodic forcing. We inverstigate the existence of solutions which are quasi-periodic with the same frequency of the forcing. Two models to keep in mind are:
(called the varactor equation)
We show that under very mild non-degeneracy conditions, there are solutions with the same frequencies wich depend analytically on 
in a domain, which does not contain a ball around the origin, but which contains circles tangent to the imaginary axis. This allows us to recover and extend many properties in the literature about the asymptotic expansions. Joint work with R. Calleja, L. Corsi, A. Celletti
