Abstract

ABSTRACTIn this paper, we consider the following real analytic Hamiltonian system where A is a constant Hamiltonian matrix with the different eigenvalues , where for are real, and is quasi-periodic with frequencies . Without any non-degeneracy condition with respect to ϵ, we prove that by a quasi-periodic symplectic mapping, then for most of the sufficiently small parameter ϵ, the Hamiltonian system is reducible.

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