中国电子科技(英文版)2004，Vol.2Issue(2)：73-78,6.
On the Form Invariance and Lie Symmetry of Birkhoffian Systems
On the Form Invariance and Lie Symmetry of Birkhoffian Systems
摘要
Abstract
The Lie symmetry is an invariance of the differential equations of motion under the infinitesimal transformations. The form invariance is an invariance of the form of the mechanical equations of motion under the infinitesimal transformations. In this paper, the relation between form invariance and Lie symmetry of Birkhoffian systems is presented, and the relationship unveil that the form invariance does not always mean Lie symmetry, vice versa.关键词
analytical mechanics/Birkhoffian systems/form invariance/Lie symmetryKey words
analytical mechanics/Birkhoffian systems/form invariance/Lie symmetry分类
信息技术与安全科学引用本文复制引用
GU Shu-long,ZHANG Hong-bin..On the Form Invariance and Lie Symmetry of Birkhoffian Systems[J].中国电子科技(英文版),2004,2(2):73-78,6.基金项目
Supported by the Education Foundation of Anhui Province, China (No. 2004 kj294) （No. 2004 kj294）
