Abstract: | In this paper we establish the Floguet theory for the quasi-periodic system where A(u1,u2....um) is an nxn periodic matrix function ofwith period 2π, and it is of Cτ, τ=(N+ 1)τ0, τ0=2(m + 1), N = (1/2)n(n + l).Meanwhile, we define the characteristic exponential roots β1,β2,…,βn of (0.1), and assume that where K(ω), K(ω,β)->0. ku, iv, are integers, all the integers k1,k2,…,km,km are not zero,, ,rhen therequasi-periodic linear transformation, which carries (0.1) into a li near system with constant coefficients. |