VARIATIONAL CONSTRUCTION OF CONNECTING ORBITS

被引：250
|
作者：
MATHER, JN [1 ]
机构：
[1] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544
来源：
ANNALES DE L INSTITUT FOURIER | 1993年 / 43卷 / 05期
关键词：
LAGRANGIAN SYSTEM; ACTION MINIMIZING SETS; CONNECTING ORBITS;
D O I：
10.5802/aif.1377
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the context of certain periodic Lagrangian systems, we find sufficient conditions for the existence of an orbit connecting two action minimizing sets. We also find sufficient conditions for the existence of an orbit which visits (to within epsilon) each of a sequence of action minimizing sets, in turn. These results generalize to n degrees of freedom results previously obtained in 1 degree of freedom (area preserving mappings) [Ma5].
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页码：1349 / 1386
页数：38
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