Chaotic Dynamics of Monotone Twist Maps  

作　　者：Guo Wei YU 

机构地区：[1]Chern Institute of Mathematics and LPMC,Nankai University,Tianjin 300071,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第1期179-204,共26页数学学报（英文版）

基　　金：Supported by National Key R&D Program of China(Grant No.2020YFA0713303);the Fundamental Research Funds for the Central Universities(Grant No.63213032);Nankai Zhide Foundation。

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.

关 键 词：Monotone twist maps homoclinic and heteroclinic orbits topological entropy 

分 类 号：O415.5[理学—理论物理]