Poincare-Cartan integral invariants of Birkhoffian systems

被引：0
|
作者：
Guo, YX [1 ]
Shang, M
Luo, SK
机构：
[1] Liaoning Univ, Dept Phys, Shenyang 110036, Peoples R China
[2] Beijing Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China
[3] Changsha Univ, Inst Math Mech & Math Phys, Changsha 410003, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2003年 / 24卷 / 01期
关键词：
Birkhoffian systems; symplectic structure; self-adjointness; Poincare-Cartan integral invariants;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on modem differential geometry, the symplectic structure of a Birkhoffian system which is an extension of conservative and nonconservative systems is analyzed. An integral invariant of Poincare-Cartan's type is constructed for Birkhoffian systems. Finally, one-dimensional damped vibration is taken as an illustrative example and an integral invariant of Poincare's type is found.
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页码：68 / 72
页数：5
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