Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 28 de abril de 2022
Hora  : 12:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Yingfei Yi

(Universidad de Alberta, Canadá)

Resumen

EFor a quasi-periodically forced differential equation, response solutions are quasi- periodic ones whose frequency vector coincides with that of the forcing function and they are known to play a fundamental role in the harmonic and synchronizing behaviors of quasi- periodically forced oscillators. These solutions arewell-understood in quasi-periodically perturbed nonlinear oscillators either in the presence of large damping or in thenon- degenerate cases with small or free damping. This talk will present some recent results on the existence of responsive solutions in degenerate, quasi-periodically forced nonlinear oscillators with small or free damping.