Perturbation to lie symmetry and lutzky adiabatic invariants for lagrange systems

Ning Ding; Jian Hui Fang; Peng Wang; Xiao Ni Zhang

doi:10.1088/0253-6102/49/1/11

Perturbation to lie symmetry and lutzky adiabatic invariants for lagrange systems

Ning Ding
, Jian Hui Fang
, Peng Wang
, Xiao Ni Zhang

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

3 Scopus citations

Abstract

Based on the concept of adiabatic invariant, perturbation to Lie symmetry and Lutzky adiabatic invariants for Lagrange systems are studied by using different methods from those of previous works. Exact invariants induced from Lie symmetry of the system without perturbation are given. Perturbation to Lie symmetry is discussed and Lutzky adiabatic invariants of the system subject to perturbation are obtained.

Original language	English
Pages (from-to)	57-60
Number of pages	4
Journal	Communications in Theoretical Physics
Volume	49
Issue number	1
DOIs	https://doi.org/10.1088/0253-6102/49/1/11
State	Published - 15 Jan 2008
Externally published	Yes

Keywords

Lagrange system
Lutzky adiabatic invariant
Perturbation
Symmetry

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10.1088/0253-6102/49/1/11

Cite this

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abstract = "Based on the concept of adiabatic invariant, perturbation to Lie symmetry and Lutzky adiabatic invariants for Lagrange systems are studied by using different methods from those of previous works. Exact invariants induced from Lie symmetry of the system without perturbation are given. Perturbation to Lie symmetry is discussed and Lutzky adiabatic invariants of the system subject to perturbation are obtained.",

keywords = "Lagrange system, Lutzky adiabatic invariant, Perturbation, Symmetry",

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AU - Ding, Ning

AU - Fang, Jian Hui

AU - Wang, Peng

AU - Zhang, Xiao Ni

PY - 2008/1/15

Y1 - 2008/1/15

N2 - Based on the concept of adiabatic invariant, perturbation to Lie symmetry and Lutzky adiabatic invariants for Lagrange systems are studied by using different methods from those of previous works. Exact invariants induced from Lie symmetry of the system without perturbation are given. Perturbation to Lie symmetry is discussed and Lutzky adiabatic invariants of the system subject to perturbation are obtained.

AB - Based on the concept of adiabatic invariant, perturbation to Lie symmetry and Lutzky adiabatic invariants for Lagrange systems are studied by using different methods from those of previous works. Exact invariants induced from Lie symmetry of the system without perturbation are given. Perturbation to Lie symmetry is discussed and Lutzky adiabatic invariants of the system subject to perturbation are obtained.

KW - Lagrange system

KW - Lutzky adiabatic invariant

KW - Perturbation

KW - Symmetry

UR - https://www.scopus.com/pages/publications/38849087361

U2 - 10.1088/0253-6102/49/1/11

DO - 10.1088/0253-6102/49/1/11

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VL - 49

SP - 57

EP - 60

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 1

ER -

Perturbation to lie symmetry and lutzky adiabatic invariants for lagrange systems

Abstract

Keywords

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