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.

引用

页码：68 / 72

页数：5

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