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In this paper we consider the reducibility of a class of n-dimensional real analytic quasi-periodic systems with a small parameter: x˙=(A+ϵQ(t,ϵ))x,x∈Rn. We prove that if the basic frequencies of Q and the eigenvalues of A satisfy some non-resonance conditions, then for most of the sufficiently small parameters in the sense of Lebesgue measure, the system is reducible without any non-degeneracy...
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