Birkhoff lower-dimensional tori in Hamiltonian systems

被引:0
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作者
WANG Shaoli and CHENG ChongqingDepartment of Mathematics
机构
关键词
Hamiltonian system; resonance; lower-dimensional torus;
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中图分类号
O174 [函数论];
学科分类号
070104 ;
摘要
CONSIDER a C~l (l≥3) area-preserving diffeomorphism f: U→R~2, 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 eω≠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 p~2+q~2=2τis a rotation
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页码:1866 / 1870
页数:5
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