A necessary and sufficient condition for a twist map being integrable

被引：0
|
作者：
程健
孙义燧
机构：
[1] Department of Mathematics
[2] Nanjing University
[3] Department of Astronomy
[4] Nanjing 210093
[5] China
来源：
Science China Mathematics | 1996年 / 07期
关键词：
twist map; invariant curves; Aubry-Mather sets;
D O I：
暂无
中图分类号：
O157.5 [图论];
学科分类号：
070104 ;
摘要：
It is shown that for an area preserving twist map on cylinder the phase space is foliated by invariant circles not null-homotopic if and only if Jacobi fields do not have conjugate points.
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页码：709 / 717
页数：9
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