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

页码：617 / 624

页数：8

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