Chaotic Dynamics of Monotone Twist Maps

被引：0

作者：

Yu, Guo Wei ^{[1
,2
]}

机构：

[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2022年 / 38卷 / 01期

基金：

国家重点研发计划;

关键词：

Monotone twist maps; homoclinic and heteroclinic orbits; topological entropy; FRENKEL-KONTOROVA MODEL; GEODESICS; ORBITS; EXISTENCE; SETS;

D O I：

10.1007/s10114-022-0453-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a monotone twist map, under certain non-degenerate condition, we showed the existence of infinitely many homoclinic and heteroclinic orbits between two periodic neighboring minimal orbits with the same rotation number, which indicates chaotic dynamics. Our results also apply to geodesics of smooth Riemannian metrics on the two-dimension torus.

引用

页码：179 / 204

页数：26

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