Variational Construction of Diffusion Orbits for Positive Definite Lagrangians

被引：0
作者：
Cheng, Chong-Qing [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL III: INVITED LECTURES | 2010年
基金：
中国国家自然科学基金;
关键词：
Tonelli Lagrangian; Action minimizing; Arnold diffusion; INTEGRABLE HAMILTONIAN-SYSTEMS; ARNOLD DIFFUSION; CONNECTING ORBITS; INVARIANT TORI; HOMOCLINIC ORBITS; AUBRY SETS; MINIMIZING MEASURES; MATHER THEORY; INSTABILITY; EXISTENCE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this lecture, we sketch the variational construction of diffusion orbits in positive definite Lagrangian systems. Diffusion orbits constructed this way connects different Aubry sets, along which the action is locally minimized.
引用
收藏
页码：1714 / 1728
页数：15
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