Weak conjugate KAM solutions and Peierls's barriers

被引：87

作者：

Fathi, A

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 325卷 / 06期

关键词：

D O I：

10.1016/S0764-4442(97)84777-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We continue our study of the weak KAM theorem, which we obtained in our previous Note. We state the connection between this theorem and the Peierls's barriers as defined by Mather. From this connection one can deduce the fact, due to Ma (n) over tilde$$ e, that the dynamics on the set of M-minimizing extremals is chain transitive.

引用

页码：649 / 652

页数：4