摘要
In this paper, we investigate the persistence of invariant tori for the nearly in-tegrable Hamiltonian system H(x,y) = h(y) + εp(x,y) + ε2Q(x,y), where h(y) and εp(x,y) satisfy the Russmann non-degenerate condition. Mainly we overcome the difficulties that the order of the parameter E in the perturbation ε2Q(x,y) is not enough and that the measure estimate involves in parts of frequencies with small parameter.
In this paper, we investigate the persistence of invariant tori for the nearly integrable Hamiltonian system H(x, y) =h(y) + εp((x), y) + ε2Q(x, (y)), whereh(y) and εp((x), y)the order of the parameter ε in the perturbation ε2Q(x,y) is not enough and that the measure estimate involves in parts of frequencies with small parameter.
基金
supported by the National Outstanding Young’s Award of China
National 973 Project of China:Nonlinearity
Specialized Research Fund for the Doctoral Program of Higher Education and the Young Teacher's Foundation of Jilin University
supported by 985 Project of Jilin University.
