The discrete variational principle in Hamiltonian formalism and first integrals

Hong Bin Zhang; Li Qun Chen; Rong Wan Liu

doi:10.1088/1009-1963/14/6/001

The discrete variational principle in Hamiltonian formalism and first integrals

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

^*Corresponding author for this work

Chao Hu University
Shanghai University

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

36 Scopus citations

Abstract

The aim of this paper is to show that first integrals of discrete equation of motion for Hamiltonian systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian in phase space. The result obtained is a discrete analog of the theorem of Noether in the calculus of variations.

Original language	English
Pages (from-to)	1063-1068
Number of pages	6
Journal	Chinese Physics
Volume	14
Issue number	6
DOIs	https://doi.org/10.1088/1009-1963/14/6/001
State	Published - 1 Jun 2005
Externally published	Yes

Keywords

Discrete mechanics
First integral
Hamiltonian system
Noether's theorem

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10.1088/1009-1963/14/6/001

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title = "The discrete variational principle in Hamiltonian formalism and first integrals",

abstract = "The aim of this paper is to show that first integrals of discrete equation of motion for Hamiltonian systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian in phase space. The result obtained is a discrete analog of the theorem of Noether in the calculus of variations.",

keywords = "Discrete mechanics, First integral, Hamiltonian system, Noether's theorem",

author = "Zhang, \{Hong Bin\} and Chen, \{Li Qun\} and Liu, \{Rong Wan\}",

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doi = "10.1088/1009-1963/14/6/001",

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T1 - The discrete variational principle in Hamiltonian formalism and first integrals

AU - Zhang, Hong Bin

AU - Chen, Li Qun

AU - Liu, Rong Wan

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N2 - The aim of this paper is to show that first integrals of discrete equation of motion for Hamiltonian systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian in phase space. The result obtained is a discrete analog of the theorem of Noether in the calculus of variations.

AB - The aim of this paper is to show that first integrals of discrete equation of motion for Hamiltonian systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian in phase space. The result obtained is a discrete analog of the theorem of Noether in the calculus of variations.

KW - Discrete mechanics

KW - First integral

KW - Hamiltonian system

KW - Noether's theorem

UR - https://www.scopus.com/pages/publications/19544366947

U2 - 10.1088/1009-1963/14/6/001

DO - 10.1088/1009-1963/14/6/001

M3 - 文章

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SN - 1009-1963

VL - 14

SP - 1063

EP - 1068

JO - Chinese Physics

JF - Chinese Physics

IS - 6

ER -

The discrete variational principle in Hamiltonian formalism and first integrals

Abstract

Keywords

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