The conserved quantity of Hojman for mechanicalsystems with variable mass in phase space

Fang Jian－Hui; Zhang Peng－Yu

doi:10.7498/aps.53.4041

Abstract
In this paper, we study the Hojman conserved quantity of Lie symmetry for mechan ical systems with variable mass in phase space under a general infinitesimal tra ns formation. The determining equations and Hojman conservation theorem of Lie symm etry of the system in phase space are obtained. An example is given to illustrat e the application of the result.

Keywords:
phase space /

variable mass system /

general infinitesimal transformati on /

Lie symmetry /

Hojman conserved quantity
Authors and contacts
Fang Jian－Hui,

Zhang Peng－Yu

1.
石油大学(华东)物理科学与技术学院,东营　257061
References

Cited By

[1]	Sun Xian-Ting, Zhang Yao-Yu, Zhang Fang, Jia Li-Qun. Conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system. Acta Physica Sinica, 2014, 63(14): 140201. doi: 10.7498/aps.63.140201
[2]	Xu Rui-Li, Fang Jian-Hui, Zhang Bin. The Noether conserved quantity of Lie symmetry for discrete difference sequence Hamilton system with variable mass. Acta Physica Sinica, 2013, 62(15): 154501. doi: 10.7498/aps.62.154501
[3]	Xie Yin-Li, Jia Li-Qun, Yang Xin-Fang. Lie symmetry and Hojman conserved quantity of Nielsen equation in a dynamical system of the relative motion. Acta Physica Sinica, 2011, 60(3): 030201. doi: 10.7498/aps.60.030201
[4]	Dong Wen-Shan, Fang Jian-Hui, Huang Bao-Xin. Hojman conserved quantities of generalized linear nonholonomic mechanical systems. Acta Physica Sinica, 2010, 59(2): 724-728. doi: 10.7498/aps.59.724
[5]	Shi Shen-Yang, Huang Xiao-Hong, Zhang Xiao-Bo, Jin Li. The Lie symmetry and Noether conserved quantity of discrete difference variational Hamilton system. Acta Physica Sinica, 2009, 58(6): 3625-3631. doi: 10.7498/aps.58.3625
[6]	Liu Yang-Kui, Fang Jian-Hui. Two types of conserved quantities of Lie-Mei symmetry for a variable mass system in phase space. Acta Physica Sinica, 2008, 57(11): 6699-6703. doi: 10.7498/aps.57.6699
[7]	Lou Zhi_Mei. The study of symmetries and conserved quantities for one class of linearly coupled multidimensional freedom systems. Acta Physica Sinica, 2007, 56(5): 2475-2478. doi: 10.7498/aps.56.2475
[8]	Jia Li-Qun, Zhang Yao-Yu, Zheng Shi-Wang. Hojman conserved quantities for systems with non-Chetaev nonholonomic constraints in the event space. Acta Physica Sinica, 2007, 56(2): 649-654. doi: 10.7498/aps.56.649
[9]	Zhang Yi. Perturbation of symmetries and Hojman adiabatic invariants of discrete mechanical systems in the phase space. Acta Physica Sinica, 2007, 56(4): 1855-1859. doi: 10.7498/aps.56.1855
[10]	Fang Jian-Hui, Wang Peng, Ding Ning. Lie-Mei symmetry of mechanical system in phase space. Acta Physica Sinica, 2006, 55(8): 3821-3824. doi: 10.7498/aps.55.3821
[11]	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
[12]	Xu Xue-Jun, Mei Feng-Xiang, Qin Mao-Chang. Hojman conserved quantity for a holonomic system in the event space. Acta Physica Sinica, 2005, 54(3): 1009-1014. doi: 10.7498/aps.54.1009
[13]	Zhang Yi. Symmetries and conserved quantities of mechanical systems with unilateral holonomic constraints in phase space. Acta Physica Sinica, 2005, 54(10): 4488-4495. doi: 10.7498/aps.54.4488
[14]	Fang Jian-Hui, Liao Yong-Pan, Peng Yong. Tow kinds of Mei symmeties and conserved quantities of a mechanical system in phase space. Acta Physica Sinica, 2005, 54(2): 500-503. doi: 10.7498/aps.54.500
[15]	Luo Shao-Kai, Guo Yong-Xin, Mei Feng-Xiang. Noether symmetry and Hojman conserved quantity for nonholonomic mechanical systems. Acta Physica Sinica, 2004, 53(5): 1270-1275. doi: 10.7498/aps.53.1270
[16]	Fang Jian－Hui, Liao Yong－Pan, Zhang Jun. Non－Noether conserved quantity of a general form for mechanical systems with variable mass. Acta Physica Sinica, 2004, 53(12): 4037-4040. doi: 10.7498/aps.53.4037
[17]	Mei Feng-Xiang. Lie symmetry and the conserved quantity of a generalized Hamiltonian system. Acta Physica Sinica, 2003, 52(5): 1048-1050. doi: 10.7498/aps.52.1048
[18]	Li Yuan-Cheng, Zhang Yi, Liang Jing-Hui. . Acta Physica Sinica, 2002, 51(10): 2186-2190. doi: 10.7498/aps.51.2186
[19]	MEI FENG-XIANG. LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONHOLONOMIC SYSTEMS WITH SERVOCONSTR AINTS. Acta Physica Sinica, 2000, 49(7): 1207-1210. doi: 10.7498/aps.49.1207
[20]	MEI FENG-XIANG, SHANG MEI. LIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS. Acta Physica Sinica, 2000, 49(10): 1901-1903. doi: 10.7498/aps.49.1901

Catalog

Vol. 53, Issue 12 - 2004-06-20

Metrics

Abstract views: 7535
PDF Downloads: 559
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

The conserved quantity of Hojman for mechanicalsystems with variable mass in phase space

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

The conserved quantity of Hojman for mechanicalsystems with variable mass in phase space

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About