Domains of analyticity for response solutions in strongly dissipative forced systems
نویسندگان
چکیده
We study the ordinary differential equation εẍ+ ẋ+ εg(x) = εf(ωt), where g and f are real-analytic functions, with f quasi-periodic in t with frequency vector ω. If c0 ∈ R is such that g(c0) equals the average of f and g(c0) 6= 0, under very mild assumptions on ω there exists a quasi-periodic solution close to c0 with frequency vector ω. We show that such a solution depends analytically on ε in a domain of the complex plane tangent more than quadratically to the imaginary axis at the origin.
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