Discrete variational principle and the first integrals of the conservative holonomic systems in event space

doi:10.1088/1009-1963/14/5/005

中国物理B ›› 2005, Vol. 14 ›› Issue (5): 888-892.doi: 10.1088/1009-1963/14/5/005

Discrete variational principle and the first integrals of the conservative holonomic systems in event space　　　　　

张宏彬¹, 陈礼群², 刘荣万³

(1)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; (2)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China； Department of Physics, Anhui Chaohu Colloge, Chaohu 238000, China; (3)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China；Department of Mechanics, Shanghai University, Shanghai 200436, China

收稿日期:2004-10-27 修回日期:2004-11-22 出版日期:2005-05-19 发布日期:2005-05-19
基金资助:
国家自然科学基金资助（10172056）,安徽省教育厅自然科学基金资助（2004kj294）

Discrete variational principle and the first integrals of the conservative holonomic systems in event space

Zhang Hong-Bin (张宏彬)^ab, Chen Li-Qun (陈礼群)^ac, Liu Rong-Wan (刘荣万)^a

^a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; ^b Department of Physics, Anhui Chaohu Colloge, Chaohu 238000, China; ^c Department of Mechanics, Shanghai University, Shanghai 200436, China

Received:2004-10-27 Revised:2004-11-22 Online:2005-05-19 Published:2005-05-19
Supported by:
国家自然科学基金资助（10172056）,安徽省教育厅自然科学基金资助（2004kj294）

摘要/Abstract

摘要： The intent of this paper is to show that first integrals of discrete equation of motion for the conservative holonomic systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian in event space. The result obtained is a discrete analogue of Noether’s theorem in the calculus variations. The two examples are given to illustrate the applications of the result.

关键词: event space, discrete mechanics, conservative holonomic system, Noether’s theorem, first integral

Abstract: The intent of this paper is to show that first integrals of discrete equation of motion for the conservative holonomic systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian in event space. The result obtained is a discrete analogue of Noether’s theorem in the calculus variations. The two examples are given to illustrate the applications of the result.

Key words: event space, discrete mechanics, conservative holonomic system, Noether’s theorem, first integral

中图分类号:

0320

张宏彬, 陈礼群, 刘荣万. Discrete variational principle and the first integrals of the conservative holonomic systems in event space　　　　　[J]. 中国物理B, 2005, 14(5): 888-892.

Zhang Hong-Bin (张宏彬), Chen Li-Qun (陈礼群), Liu Rong-Wan (刘荣万). Discrete variational principle and the first integrals of the conservative holonomic systems in event space [J]. Chinese Physics, 2005, 14(5): 888-892.

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Discrete variational principle and the first integrals of the conservative holonomic systems in event space

Discrete variational principle and the first integrals of the conservative holonomic systems in event space

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