We consider a class of ordinary differential equations describing one-dimensional quasi-periodically forced systems in the presence of large damping. We give a fully constructive proof of the existence of response solutions, that is quasi-periodic solutions which have the same frequency vector as the forcing. This requires dealing with a degenerate implicit function equation: we prove that the latter has a unique solution, which can be explicitly determined. As a by-product we obtain an explicit estimate of the minimal size of the damping coefficient.
GENTILE G (2012). Construction of quasi-periodic response solutions in forced strongly dissipative systems. FORUM MATHEMATICUM, 24(4), 791-808 [10.1515/FORM.2011.084].
Titolo: | Construction of quasi-periodic response solutions in forced strongly dissipative systems | |
Autori: | ||
Data di pubblicazione: | 2012 | |
Rivista: | ||
Citazione: | GENTILE G (2012). Construction of quasi-periodic response solutions in forced strongly dissipative systems. FORUM MATHEMATICUM, 24(4), 791-808 [10.1515/FORM.2011.084]. | |
Handle: | http://hdl.handle.net/11590/141195 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |