Discussion on perturbation to weak noether symmetry and adiabatic invariants for lagrange systems

Peng Wang; Jian Hui Fang; Xian Ming Wang

doi:10.1088/0256-307X/26/3/034501

Discussion on perturbation to weak noether symmetry and adiabatic invariants for lagrange systems

Peng Wang, Jian Hui Fang, Xian Ming Wang

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Abstract

We study a new symmetric perturbation, i.e. weakly Noether symmetric perturbation (WNSP). The criterion and definition of WNSP and Noether symmetric perturbation (NSP) are given. A theorem between WNSP and adiabatic invariants is established. It is concluded that WNSP is different from NSP, the sufficient condition when WNSP is NSP can be presented, and the former is broader. We apply our results to the planar Kepler problem.

Original language	English
Article number	034501
Journal	Chinese Physics Letters
Volume	26
Issue number	3
DOIs	https://doi.org/10.1088/0256-307X/26/3/034501
State	Published - 2009
Externally published	Yes

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title = "Discussion on perturbation to weak noether symmetry and adiabatic invariants for lagrange systems",

abstract = "We study a new symmetric perturbation, i.e. weakly Noether symmetric perturbation (WNSP). The criterion and definition of WNSP and Noether symmetric perturbation (NSP) are given. A theorem between WNSP and adiabatic invariants is established. It is concluded that WNSP is different from NSP, the sufficient condition when WNSP is NSP can be presented, and the former is broader. We apply our results to the planar Kepler problem.",

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AU - Wang, Peng

AU - Fang, Jian Hui

AU - Wang, Xian Ming

PY - 2009

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N2 - We study a new symmetric perturbation, i.e. weakly Noether symmetric perturbation (WNSP). The criterion and definition of WNSP and Noether symmetric perturbation (NSP) are given. A theorem between WNSP and adiabatic invariants is established. It is concluded that WNSP is different from NSP, the sufficient condition when WNSP is NSP can be presented, and the former is broader. We apply our results to the planar Kepler problem.

AB - We study a new symmetric perturbation, i.e. weakly Noether symmetric perturbation (WNSP). The criterion and definition of WNSP and Noether symmetric perturbation (NSP) are given. A theorem between WNSP and adiabatic invariants is established. It is concluded that WNSP is different from NSP, the sufficient condition when WNSP is NSP can be presented, and the former is broader. We apply our results to the planar Kepler problem.

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DO - 10.1088/0256-307X/26/3/034501

M3 - Article

AN - SCOPUS:66149115237

SN - 0256-307X

VL - 26

JO - Chinese Physics Letters

JF - Chinese Physics Letters

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ER -

Discussion on perturbation to weak noether symmetry and adiabatic invariants for lagrange systems

Abstract

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