Convergent series for quasi-periodically forced strongly dissipative systems
نویسندگان
چکیده
منابع مشابه
Convergent series for quasi-periodically forced strongly dissipative systems
We study the ordinary differential equation εẍ+ ẋ+ ε g(x) = εf(ωt), with f and g analytic and f quasi-periodic in t with frequency vector ω ∈ R. We show that if there exists c0 ∈ R such that g(c0) equals the average of f and the first non-zero derivative of g at c0 is of odd order n, then, for ε small enough and under very mild Diophantine conditions on ω, there exists a quasi-periodic solution...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2014
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199713500223