Variational construction of unbounded orbits in Lagrangian systems

被引：1
|
作者：
Cheng Chong-Qing [1 ]
Li Xia [2 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Suzhou Univ Sci & Technol, Dept Math, Suzhou 215001, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 03期
基金：
中国国家自然科学基金;
关键词：
positive definite Lagrangian; variational method; unbounded orbit; UNSTABLE HAMILTONIAN-SYSTEMS; PERIODIC PERTURBATIONS; GEODESIC-FLOWS; DIFFUSION; ENERGY; EXISTENCE;
D O I：
10.1007/s11425-010-0033-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the existence of unbounded orbits in perturbations of generic geodesic flow in T-2 by a generic periodic potential. Different from previous work such as in Mather (1997), the initial values of the orbits obtained here are not required sufficiently large.
引用
收藏
页码：617 / 624
页数：8
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