A Necessary Condition of Nonminimal Aubry-Mather Sets for Monotone Recurrence Relations

被引：2
作者：
Wang, Ya-Nan [1 ]
Qin, Wen-Xin [1 ]
机构：
[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2014年 / 24卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Nonminimal Birkhoff solution; Aubry-Mather set; monotone recurrence relation; GROUND-STATES; VARIATIONAL-PROBLEMS; CRITICAL-POINTS; THEOREM;
D O I：
10.1142/S0218127414500126
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that a necessary condition for nonminimal Aubry-Mather sets of monotone recurrence relations is that the set of all Birkhoff minimizers with some irrational rotation number does not constitute a foliation, i.e. the gaps of the minimal Aubry-Mather set are not filled up with Birkhoff minimizers.
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页数：8
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