- 必威体育下载

姓名
邮箱
手机号码
标题
留言内容
验证码

Abstract
This paper presents the variational equations for systems of generalized classical mechanics and studies the connexion of their solutions with the first integrals of the systems. By using a first integral, a particular solution of the variational equations is obtained and an example is given.

Keywords:
system of generalized classical mechanics/

first integral/

variational equation
Authors and contacts
ZHANG YI

1.
References

Cited By

[1]	Wang Yong, Mei Feng-Xiang, Cao Hui-Ying, Guo Yong-Xin.Improvement of field method and its application to integrating motion equation in Riemann-Cartan space. Acta Physica Sinica, 2018, 67(3): 034501.doi:10.7498/aps.67.20171583
[2]	Cui Jin-Chao, Liao Cui-Cui, Liu Shi-Xing, Mei Feng-Xiang.A method of judging a Birkhoffian to be a first integral of constrained mechanical system. Acta Physica Sinica, 2017, 66(4): 040201.doi:10.7498/aps.66.040201
[3]	Jia Li-Qun, Sun Xian-Ting, Zhang Mei-Ling, Zhang Yao-Yu, Han Yue-Lin.Generalized Hojman conserved quantity deduced from generalized Lie symmetry of Appell equations for a variable mass mechanical system in relative motion. Acta Physica Sinica, 2014, 63(1): 010201.doi:10.7498/aps.63.010201
[4]	Song Duan, Liu Chang, Guo Yong-Xin.The integral variational principles for embedded variation identity of high-order nonholonomic constrained systems. Acta Physica Sinica, 2013, 62(9): 094501.doi:10.7498/aps.62.094501
[5]	Shi Lan-Fang, Mo Jia-Qi.Solution of a class of rotational relativistic rotation dynamic equation using the generalized variational iteration theory. Acta Physica Sinica, 2013, 62(4): 040203.doi:10.7498/aps.62.040203
[6]	Ding Guang-Tao.A study on the first integrals of harmonic oscillators. Acta Physica Sinica, 2013, 62(6): 064502.doi:10.7498/aps.62.064502
[7]	Ding Guang-Tao.On the first integrals of linear damped oscillators. Acta Physica Sinica, 2013, 62(6): 064501.doi:10.7498/aps.62.064501
[8]	Ding Guang-Tao.The families of Lagrangians of a Painleve equation. Acta Physica Sinica, 2012, 61(11): 110202.doi:10.7498/aps.61.110202
[9]	Cao Xiao-Qun, Song Jun-Qiang, Zhang Wei-Min, Zhu Xiao-Qian, Zhao Jun.Generalized variational principles for Boussinesq equation systems. Acta Physica Sinica, 2011, 60(8): 080401.doi:10.7498/aps.60.080401
[10]	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
[11]	Zhang Yi.Differential variational principles of mechanical systems in the event space. Acta Physica Sinica, 2007, 56(2): 655-660.doi:10.7498/aps.56.655
[12]	Qiao Yong-Fen, Zhao Shu-Hong, Li Ren-Jie.Symmetry theory of the Hamilton-Tabarrok-Leech’s canonical equations in generalized classical mechanics. Acta Physica Sinica, 2006, 55(11): 5598-5605.doi:10.7498/aps.55.5598
[13]	Zhang Xiang-Wu.Higher order Lagrange equations of holonomic potential mechanical system. Acta Physica Sinica, 2005, 54(10): 4483-4487.doi:10.7498/aps.54.4483
[14]	Huang Yong-Chang, Li Xi-Guo.Unification of different integral variational principles. Acta Physica Sinica, 2005, 54(8): 3473-3479.doi:10.7498/aps.54.3473
[15]	Zhang Yi.Symmetries and Mei conserved quantities for systems of generalized classical mechanics. Acta Physica Sinica, 2005, 54(7): 2980-2984.doi:10.7498/aps.54.2980
[16]	Li Ai-Min, Zhang Ying, Li Zi-Ping.Poincaré-Cartan integral invariant of a nonholonomic constrained generalized mechanical system. Acta Physica Sinica, 2004, 53(9): 2816-2820.doi:10.7498/aps.53.2816
[17]	Zhang Yi.A conservation theorem of Hojman for systems of generalized classical mechanics. Acta Physica Sinica, 2003, 52(8): 1832-1836.doi:10.7498/aps.52.1832
[18]	Zhang Yi, Mei Feng-Xiang.Perturbation to symmetries and adiabatic invariant for systems of generalized c lassical mechanics. Acta Physica Sinica, 2003, 52(10): 2368-2372.doi:10.7498/aps.52.2368
[19]	Luo Shao-Kai.. Acta Physica Sinica, 2002, 51(7): 1416-1423.doi:10.7498/aps.51.1416
[20]	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

Catalog

Vol. 50, Issue 11 - 2001-06-05

Metrics

Abstract views:7443
PDF Downloads:710
Cited By:0

Search

Article

留言板

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About