Variational construction of unbounded orbits in Lagrangian systems

被引：0
作者：
Chong-Qing Cheng
Xia Li
机构：
[1] Nanjing University,Department of Mathematics
[2] Suzhou University of Science and Technology,Department of Mathematics
来源：
Science China Mathematics | 2010年 / 53卷
关键词：
positive definite Lagrangian; variational method; unbounded orbit; 37J40; 37J50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show the existence of unbounded orbits in perturbations of generic geodesic flow in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathbb{T}^2 $$\end{document} 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.
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页码：617 / 624
页数：7
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