Local energy integral of Birkhoffian systems

Zheng Shi-Wang; Jia Li-Qun

doi:10.7498/aps.55.5590

Abstract
The purpose of this paper is to study local energy integral for the Birkhoffian systems. The condition under which there exists the integral in the Birkhoffian systems is obtained. Two examples are given to illustrate the application of the result.

Keywords:
Birkhoffian systems /

local energy integral /

energy integral
Authors and contacts
Zheng Shi-Wang²,

Jia Li-Qun¹

(1)江南大学理学院，无锡 214122; (2)商丘师范学院物理与信息工程系，商丘 476000
References

Cited By

[1]	Zhang Yi. Mei’s symmetry theorems for non-migrated Birkhoffian systems on a time scale. Acta Physica Sinica, 2021, 70(24): 244501. doi: 10.7498/aps.70.20210372
[2]	Kong Xin-Lei, Wu Hui-Bin. Discrete optimal control for Birkhoffian systems and its application to rendezvous and docking of spacecrafts. Acta Physica Sinica, 2017, 66(8): 084501. doi: 10.7498/aps.66.084501
[3]	Chen Ju, Zhang Yi. Perturbation to Noether symmetries and adiabatic invariants for Birkhoffian systems based on El-Nabulsi dynamical models. Acta Physica Sinica, 2014, 63(10): 104501. doi: 10.7498/aps.63.104501
[4]	Ge Wei-Kuan, Zhang Yi, Lou Zhi-Mei. Infinitesimal canonical transformation and integral for a generalized Birkhoff system. Acta Physica Sinica, 2012, 61(14): 140204. doi: 10.7498/aps.61.140204
[5]	Ding Guang-Tao. Effects of gauge transformations on symmetries of Birkhoffian system. Acta Physica Sinica, 2009, 58(11): 7431-7435. doi: 10.7498/aps.58.7431
[6]	Zhang Yi. Routh method of reduction of Birkhoffian systems. Acta Physica Sinica, 2008, 57(9): 5374-5377. doi: 10.7498/aps.57.5374
[7]	Zhang Yi. Noether’s theory for Birkhoffian systems in the event space. Acta Physica Sinica, 2008, 57(5): 2643-2648. doi: 10.7498/aps.57.2643
[8]	Zhang Yi. Parametric equations and its first integrals for Birkhoffian systems in the event space. Acta Physica Sinica, 2008, 57(5): 2649-2653. doi: 10.7498/aps.57.2649
[9]	Ge Wei_Kuan, Mei Feng_Xiang. Time-integral theorems for Birkhoff systems. Acta Physica Sinica, 2007, 56(5): 2479-2481. doi: 10.7498/aps.56.2479
[10]	Zhang Peng-Yu, Fang Jian-Hui. Lie symmetry and non-Noether conserved quantities of variable mass Birkhoffian system. Acta Physica Sinica, 2006, 55(8): 3813-3816. doi: 10.7498/aps.55.3813
[11]	Zhang Yi. A new type of adiabatic invariants for Birkhoffian system. Acta Physica Sinica, 2006, 55(8): 3833-3837. doi: 10.7498/aps.55.3833
[12]	Xu Zhi-Xin. Conserved quantity and stability of Birkhoffian system. Acta Physica Sinica, 2005, 54(10): 4971-4973. doi: 10.7498/aps.54.4971
[13]	Zhang Yi, Mei Feng-Xiang. Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system. Acta Physica Sinica, 2004, 53(8): 2419-2423. doi: 10.7498/aps.53.2419
[14]	Zhang Yi, Fan Cun-Xin, Ge Wei-Kuan. A new type of conserved quantities for Birkhoffian systems. Acta Physica Sinica, 2004, 53(11): 3644-3647. doi: 10.7498/aps.53.3644*
[15]	Zhang Yi. Geometric foundations of Hojman theorem\=for Birkhoffian systems. Acta Physica Sinica, 2004, 53(12): 4026-4028. doi: 10.7498/aps.53.4026
[16]	Zhang Yi. . Acta Physica Sinica, 2002, 51(3): 461-464. doi: 10.7498/aps.51.461
[17]	Zhang Yi. . Acta Physica Sinica, 2002, 51(8): 1666-1670. doi: 10.7498/aps.51.1666
[18]	Fu Jing-Li, Chen Li-Qun, Xue Yun, Luo Shao-Kai. Stability of the equilibrium state in relativistic Birkhoff systems. Acta Physica Sinica, 2002, 51(12): 2683-2689. doi: 10.7498/aps.51.2683*
[19]	Luo Shao-Kai, Lu Yi-Bing, Zhou Qiang, Wang Ying-De, Oyang Shi. . Acta Physica Sinica, 2002, 51(9): 1913-1917. doi: 10.7498/aps.51.1913
[20]	FU JING-LI, CHEN LI-QUN, LUO SHAO-KAI, CHEN XIANG-WEI, WANG XIN-MIN. STUDY ON DYNAMICS OF RELATIVISTIC BIRKHOFF SYSTEMS. Acta Physica Sinica, 2001, 50(12): 2289-2295. doi: 10.7498/aps.50.2289

Catalog

Vol. 55, Issue 11 - 2006-06-05

Metrics

Abstract views: 7326
PDF Downloads: 1169
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Local energy integral of Birkhoffian systems

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Local energy integral of Birkhoffian systems

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About