VARIATIONAL CONSTRUCTION OF CONNECTING ORBITS

被引：253

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].

引用

页码：1349 / 1386

页数：38

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