Instituto de Investigación
en Matemáticas

Conferencia
Conferencia

Response solutions in degenerate, quasi-periodically forced nonlinear oscillators

Yingfei Yi (University of Alberta)

Fecha: 05/05/2022 11:00
Lugar: Aula 34. Edificio Induva. E.I.I.
Grupo: G.I.R. Sistemas Dinámicos

Abstract:
For 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 are well-understood in quasi-periodically perturbed nonlinear oscillators either in the presence of large damping or in the non-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.