A FORM INVARIANCE OF CONSTRAINED BIRKHOFFIAN SYSTEM

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (1): 53-57.

A FORM INVARIANCE OF CONSTRAINED BIRKHOFFIAN SYSTEM

陈向炜¹, 罗绍凯^1,3, 梅凤翔²

1. Department of Physics, Shangqiu Teachers College, Shangqiu, Henan 476000, P. R. China;
2. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. R. China;
3. Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, P. R. China

收稿日期:2000-03-14 修回日期:2001-08-26 出版日期:2002-01-18 发布日期:2002-01-18
基金资助:
the National Natural Science Foundation of China(19972012), the Doctoral Program Foundation of Institution of Higher Education of China and the Natural Science Foundation ot Henan(998040080)

A FORM INVARIANCE OF CONSTRAINED BIRKHOFFIAN SYSTEM

CHEN Xiang-wei¹, LUO Shao-kai^1,3, MEI Feng-xiang²

1. Department of Physics, Shangqiu Teachers College, Shangqiu, Henan 476000, P. R. China;
2. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. R. China;
3. Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, P. R. China

Received:2000-03-14 Revised:2001-08-26 Online:2002-01-18 Published:2002-01-18
Supported by:
the National Natural Science Foundation of China(19972012), the Doctoral Program Foundation of Institution of Higher Education of China and the Natural Science Foundation ot Henan(998040080)

摘要/Abstract

摘要： The form invariance of constrained Birkhoffian system is a kind of invariance of the constrained Birkhoffian equations under infinitesimal transformations. The definition and criteria of the form invariance of constrained Birkhoffian system are given, and the relation of the form invariance and the Noether symmetry is studied.

中图分类号:

O313

陈向炜;罗绍凯;梅凤翔. A FORM INVARIANCE OF CONSTRAINED BIRKHOFFIAN SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(1): 53-57.

CHEN Xiang-wei;LUO Shao-kai;MEI Feng-xiang. A FORM INVARIANCE OF CONSTRAINED BIRKHOFFIAN SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(1): 53-57.

[1]	章定国. THE ADDENDUM FOR THE GENERALIZED D’ALEMBERT EQUATIONS OF MOTION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 73-78.
[2]	赵维加;潘振宽;王艺兵. AN AUTOMATIC CONSTRAINT VIOLATION STABI- LIZATION METHOD FOR DIFFERENTIAL/ ALGEBRAIC EQUATIONS OF MOTION IN MULTIBODY SYSTEM DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 103-108.

A FORM INVARIANCE OF CONSTRAINED BIRKHOFFIAN SYSTEM

A FORM INVARIANCE OF CONSTRAINED BIRKHOFFIAN SYSTEM

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