Arnold's theorem on properly degenerate systems with the Russmann nondegeneracy
Arnold’s theorem on properly degenerate systems with the Russmann nondegeneracy作者机构：College of Mathematics Jilin University Changchun China
出 版 物：《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期：2005年第48卷第12期
页 面：1656-1669页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：National Key Research and Development Program of China,NKRDPC Specialized Research Fund for the Doctoral Program of Higher Education of China,SRFDP
主 题：Arnold’s theorem the Russmann non-degenerate condition.
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.
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