Birkhoff lower-dimensional tori in Hamiltonian systems

被引：0

作者：

WANG Shaoli and CHENG ChongqingDepartment of Mathematics Nanjing University Nanjing China ^{[210093
]}

机构：

来源：

Chinese Science Bulletin | 1997年 / 22期

关键词：

Hamiltonian system; resonance; lower-dimensional torus;

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

<正> CONSIDER a Cl （l≥3） area-preserving diffeomorphism f: U→R2, defined in a neighbourhoodU of origin O in a plane and assume that f（O）=O and Df（O） has a pair of pure imaginaryeigenvalues e±iω0 ω0≠2πm/n, i. e. origin O is an elliptic fixed point of f. In generic casesone can write f=B+C, where the ristriction of B to each circle p2+q2=2τis a rotation

引用

页码：1866 / 1870

页数：5