EXISTENCE OF KAM TORI IN DEGENERATE HAMILTONIAN-SYSTEMS

被引：53

作者：

CHENG, CQ

SUN, YS

机构：

[1] Department of Mathematics, Nanjing University, Nanjing 210008

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1994年 / 114卷 / 01期

关键词：

D O I：

10.1006/jdeq.1994.1152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is devoted to the proof that invariant tori still exist in perturbed integrable Hamiltonian systems with n degrees of freedom H(p, q) = N(p)+P(p, q) if the hypothesis of nondegeneracy is replaced by a much weaker one that the rank of the mapping theta N/theta p can be any positive integer smaller than n provided the image of any open set under the mapping includes a C-n+2 curved one-dimensional submanifold. (C) 1994 Academic Press, Inc.

引用

页码：288 / 335

页数：48

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