Conformal invariance and conserved quantities of non-conservative Lagrange systems by point transformations

被引：0

作者：

刘畅 ^{[1
]}

梅凤翔 ^{[1
]}

郭永新 ^{[2
]}

机构：

[1] Department of Applied Mechanics, Beijing Institute of Technology

[2] College of Physics, Liaoning University

来源：

Chinese Physics B | 2009年 / 18卷 / 02期

基金：

中国国家自然科学基金;

关键词：

non-conservative Lagrange systems; point transformations; conformal invariance; con- served quantities;

D O I：

暂无

中图分类号：

O316 [分析力学（解析力学）];

学科分类号：

080101 ;

摘要：

This paper studies the conformal invariance by infinitesimal point transformations of non-conservative Lagrange systems. It gives the necessary and sufficient conditions of conformal invariance by the action of infinitesimal point transformations being Lie symmetric simultaneously. Then the Noether conserved quantities of conformal invariance are obtained. Finally an illustrative example is given to verify the results.

引用

页码：395 / 399

页数：5