A symplectic map and its application to the persistence of lower dimensional invariant tori

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：zglcharmer134

【摘要】

：

We give a nonlinear symplectic coordinator transformation, which can move the normal frequencies of the lower dimensional torus up to <k, ω> where ω is the fr

【作者】

：

XU Junxiang(徐君祥) YOU Jiangong(

【机构】

：

DepartmentofAppliedMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2002年5期

【关键词】

：

sympletic map persistence INVARIANT tori. sympletic map persistence invariant

【基金项目】

：

国家自然科学基金，国家重点基础研究发展计划(973计划)

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We give a nonlinear symplectic coordinator transformation, which can move the normal frequencies of the lower dimensional torus up to <k, ω> where ω is the frequency vector of the torus. That means the normal frequencies with a difference <k,ω>

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A symplectic map and its application to the persistence of lower dimensional invariant tori

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