We study the ordinary differential equation ɛx ̈ +x ̇ +ɛg(x)=ɛf(ωt) , where g and f are real-analytic functions, with f quasi-periodic in t with frequency vector ω . If c 0 ∈R is such that g(c 0) equals the average of f and g′(c 0) ≠ 0, under very mild assumptions on ω there exists a quasi-periodic solution close to c 0 with frequency vector ω . We show that such a solution depends analytically on ɛ in a domain of the complex plane tangent more than quadratically to the imaginary axis at the origin.
|Titolo:||Domains of analyticity for response solutions in strongly dissipative forced|
|Autori:||L. Corsi; R. Feola; G. Gentile|
|Data di pubblicazione:||2013|
|Digital Object Identifier (DOI):||10.1063/1.4836777|
|Appare nelle tipologie:||1.1 Journal article|