Discrete symmetrical perturbation and variational algorithm of disturbed Lagrangian systems

doi:10.1088/1674-1056/28/3/030201

中国物理B ›› 2019, Vol. 28 ›› Issue (3): 30201-030201.doi: 10.1088/1674-1056/28/3/030201

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 下一篇

Discrete symmetrical perturbation and variational algorithm of disturbed Lagrangian systems

Li-Li Xia(夏丽莉), Xin-Sheng Ge(戈新生), Li-Qun Chen(陈立群)

1 School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China;
2 Mechanical & Electrical Engineering School, Beijing Information Science and Technology University, Beijing 100192, China;
3 Department of Mechanics, Harbin Institute of Technology, Shenzhen 518055, China

收稿日期:2018-10-31 修回日期:2018-12-05 出版日期:2019-03-05 发布日期:2019-03-05
通讯作者: Li-Qun Chen E-mail:chenliqun@hit.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11502071) and the Special Research Project of Beijing Information Science and Technology University, China.

Discrete symmetrical perturbation and variational algorithm of disturbed Lagrangian systems

Li-Li Xia(夏丽莉)¹, Xin-Sheng Ge(戈新生)², Li-Qun Chen(陈立群)³

1 School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China;
2 Mechanical & Electrical Engineering School, Beijing Information Science and Technology University, Beijing 100192, China;
3 Department of Mechanics, Harbin Institute of Technology, Shenzhen 518055, China

Received:2018-10-31 Revised:2018-12-05 Online:2019-03-05 Published:2019-03-05
Contact: Li-Qun Chen E-mail:chenliqun@hit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11502071) and the Special Research Project of Beijing Information Science and Technology University, China.

摘要/Abstract

摘要：

We investigate the perturbation to discrete conformal invariance and the adiabatic invariants of Lagrangian systems. A variational algorithm is proposed for a system subjected to the perturbation quantities. The discrete determining equations of the perturbations to conformal invariance are established. For perturbed Lagrangian systems, the condition of the existence of adiabatic invariant is derived from the discrete perturbation to conformal invariance. The numerical simulations demonstrate that the variational algorithm has the higher precision and the longer time stability than the standard numerical method.

关键词: variational integrator, discrete perturbation to conformal invariance, discrete adiabatic invariants, disturbed Lagrangian systems

Abstract:

Key words: variational integrator, discrete perturbation to conformal invariance, discrete adiabatic invariants, disturbed Lagrangian systems

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

46.15.Ff (Perturbation and complex analysis methods) 45.20.Jj (Lagrangian and Hamiltonian mechanics) 11.30.-j (Symmetry and conservation laws)

夏丽莉, 戈新生, 陈立群. Discrete symmetrical perturbation and variational algorithm of disturbed Lagrangian systems[J]. 中国物理B, 2019, 28(3): 30201-030201.

Li-Li Xia(夏丽莉), Xin-Sheng Ge(戈新生), Li-Qun Chen(陈立群). Discrete symmetrical perturbation and variational algorithm of disturbed Lagrangian systems[J]. Chin. Phys. B, 2019, 28(3): 30201-030201.

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Discrete symmetrical perturbation and variational algorithm of disturbed Lagrangian systems

Discrete symmetrical perturbation and variational algorithm of disturbed Lagrangian systems

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