Positive topological entropy for monotone recurrence relations

被引：5

作者：

Guo, Li ^{[1
]}

Miao, Xue-Qing ^{[1
]}

Wang, Ya-Nan ^{[1
]}

Qin, Wen-Xin ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2015年 / 35卷

基金：

中国国家自然科学基金;

关键词：

AUBRY-MATHER THEORY; VARIATIONAL-PROBLEMS; GROUND-STATES; MINIMAL SOLUTIONS; CRITICAL-POINTS; CIRCLES; ORBITS; TORUS;

D O I：

10.1017/etds.2014.4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We associate the topological entropy of monotone recurrence relations with the Aubry-Mather theory. If there exists an interval [rho(0), rho(1)] such that, for each omega is an element of (rho(0), rho(1)) , all Birkhoff minimizers with rotation number omega do not form a foliation, then the diffeomorphism on the high-dimensional cylinder defined via the monotone recurrence relation has positive topological entropy.

引用

页码：1880 / 1901

页数：22

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