Resumen de On the Effective Reducibility of a Class of Quasi-Periodic Hamiltonian Systems

Jia Li, Junxiang Xu

• In this paper, we consider the effective reducibility of the following quasi-periodic Hamiltonian system x˙=(A+εQ(t,ε))x, |ε|≤ε0, where A is a constant matrix with different eigenvalues, Q(t,ε) is analytic quasi-periodic on Dρ with respect to t. Under non-resonant conditions, by a quasi-periodic symplectic transformation, the Hamiltonian system can be reducible to a quasi-periodic Hamiltonian system y˙=(A∗(ε)+εR∗(t,ε))y, |ε|≤ε0, where R∗ is exponentially small in ε .