Symmetries and variational calculation of discrete Hamiltonian systems

Li Li Xia; Li Qun Chen; Jing Li Fu; Jing He Wu

doi:10.1088/1674-1056/23/7/070201

Symmetries and variational calculation of discrete Hamiltonian systems

Li Li Xia
, Li Qun Chen^*
, Jing Li Fu
, Jing He Wu

^*Corresponding author for this work

Henan Institute of Education
Shanghai University
Zhejiang Sci-Tech University

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

5 Scopus citations

Abstract

We present a numerical simulation method of Noether and Lie symmetries for discrete Hamiltonian systems. The Noether and Lie symmetries for the systems are proposed by investigating the invariance properties of discrete Lagrangian in phase space. The numerical calculations of a two-degree-of-freedom nonlinear harmonic oscillator show that the difference discrete variational method preserves the exactness and the invariant quantity.

Original language	English
Article number	070201
Journal	Chinese Physics B
Volume	23
Issue number	7
DOIs	https://doi.org/10.1088/1674-1056/23/7/070201
State	Published - 1 Jul 2014
Externally published	Yes

Keywords

conserved quantity
discrete Hamiltonian systems
discrete variational integrators
symmetry

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10.1088/1674-1056/23/7/070201

Cite this

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title = "Symmetries and variational calculation of discrete Hamiltonian systems",

abstract = "We present a numerical simulation method of Noether and Lie symmetries for discrete Hamiltonian systems. The Noether and Lie symmetries for the systems are proposed by investigating the invariance properties of discrete Lagrangian in phase space. The numerical calculations of a two-degree-of-freedom nonlinear harmonic oscillator show that the difference discrete variational method preserves the exactness and the invariant quantity.",

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AU - Xia, Li Li

AU - Chen, Li Qun

AU - Fu, Jing Li

AU - Wu, Jing He

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N2 - We present a numerical simulation method of Noether and Lie symmetries for discrete Hamiltonian systems. The Noether and Lie symmetries for the systems are proposed by investigating the invariance properties of discrete Lagrangian in phase space. The numerical calculations of a two-degree-of-freedom nonlinear harmonic oscillator show that the difference discrete variational method preserves the exactness and the invariant quantity.

AB - We present a numerical simulation method of Noether and Lie symmetries for discrete Hamiltonian systems. The Noether and Lie symmetries for the systems are proposed by investigating the invariance properties of discrete Lagrangian in phase space. The numerical calculations of a two-degree-of-freedom nonlinear harmonic oscillator show that the difference discrete variational method preserves the exactness and the invariant quantity.

KW - conserved quantity

KW - discrete Hamiltonian systems

KW - discrete variational integrators

KW - symmetry

UR - https://www.scopus.com/pages/publications/84903745442

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DO - 10.1088/1674-1056/23/7/070201

M3 - 文章

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VL - 23

JO - Chinese Physics B

JF - Chinese Physics B

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Symmetries and variational calculation of discrete Hamiltonian systems

Abstract

Keywords

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