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

Hong Bin Zhang; Li Qun Chen; Rong Wan Liu

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

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

Hong Bin Zhang^*
, Li Qun Chen
, Rong Wan Liu

^*Corresponding author for this work

Shanghai University
Chao Hu University

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

It is shown in this paper 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 of variations. Two examples are given to illustrate the applications of the result.

Original language	English
Pages (from-to)	888-892
Number of pages	5
Journal	Chinese Physics
Volume	14
Issue number	5
DOIs	https://doi.org/10.1088/1009-1963/14/5/005
State	Published - May 2005
Externally published	Yes

Keywords

Conservative holonomic system
Discrete mechanics
Event space
First integral
Noether's theorem

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10.1088/1009-1963/14/5/005

Cite this

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title = "Discrete variational principle and the first integrals of the conservative holonomic systems in event space",

abstract = "It is shown in this paper 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 of variations. Two examples are given to illustrate the applications of the result.",

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AU - Zhang, Hong Bin

AU - Chen, Li Qun

AU - Liu, Rong Wan

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N2 - It is shown in this paper 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 of variations. Two examples are given to illustrate the applications of the result.

AB - It is shown in this paper 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 of variations. Two examples are given to illustrate the applications of the result.

KW - Conservative holonomic system

KW - Discrete mechanics

KW - Event space

KW - First integral

KW - Noether's theorem

UR - https://www.scopus.com/pages/publications/19544375123

U2 - 10.1088/1009-1963/14/5/005

DO - 10.1088/1009-1963/14/5/005

M3 - 文章

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SN - 1009-1963

VL - 14

SP - 888

EP - 892

JO - Chinese Physics

JF - Chinese Physics

IS - 5

ER -

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

Abstract

Keywords

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