Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system

Zhang Yi; Mei Feng-Xiang

doi:10.7498/aps.53.2419

Abstract
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Zhang Yi²,

Mei Feng-Xiang¹

(1)北京理工大学理学院，北京 100081; (2)苏州科技学院土木工程系，苏州 215011
References

Cited By

[1]	Zhang Yi, Jin Shi-Xin. Noether symmetries of dynamics for non-conservative systems with time delay. Acta Physica Sinica, 2013, 62(23): 234502. doi: 10.7498/aps.62.234502
[2]	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
[3]	Jia Li-Qun, Cui Jin-Chao, Zhang Yao-Yu, Luo Shao-Kai. Lie symmetry and conserved quantity of Appell equation for a Chetaev’s type constrained mechanical system. Acta Physica Sinica, 2009, 58(1): 16-21. doi: 10.7498/aps.58.16
[4]	Ge Wei-Kuan. Mei symmetry and conserved quantity of a holonomic system. Acta Physica Sinica, 2008, 57(11): 6714-6717. doi: 10.7498/aps.57.6714
[5]	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
[6]	Ge Wei-Kuan. Effects of mass variation on form invariance and conserved quantity of mechanical systems. Acta Physica Sinica, 2005, 54(6): 2478-2481. doi: 10.7498/aps.54.2478
[7]	Gu Shu-Long, Zhang Hong-Bin. Mei symmetry, Noether symmetry and Lie symmetry of a Vacco system. Acta Physica Sinica, 2005, 54(9): 3983-3986. doi: 10.7498/aps.54.3983
[8]	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
[9]	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
[10]	Luo Shao-Kai. Mei symmetry,Noether symmetry and Lie symmetry of Hamiltonian canonical equations in a singular system. Acta Physica Sinica, 2004, 53(1): 5-10. doi: 10.7498/aps.53.5
[11]	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
[12]	Zhang Yi. Form invariance of mechanical systems with unilateral holonomic constraints. Acta Physica Sinica, 2004, 53(2): 331-336. doi: 10.7498/aps.53.331
[13]	Zhang Yi. Effects of non-conservative forces and nonholonomic constraints on Lie symmetrie s of a Hamiltonian system. Acta Physica Sinica, 2003, 52(6): 1326-1331. doi: 10.7498/aps.52.1326
[14]	Luo Shao-Kai. Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system. Acta Physica Sinica, 2003, 52(12): 2941-2944. doi: 10.7498/aps.52.2941
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[18]	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
[19]	ZHANG HONG-BIN. NOETHER’S THEORY OF BIRKHOFF SYSTEMS WITH UNILATERAL CONSTRAINTS. Acta Physica Sinica, 2001, 50(10): 1837-1841. doi: 10.7498/aps.50.1837
[20]	ZHANG YI, XUE YUN. LIE SYMMETRIES OF CONSTRAINED HAMILTONIAN SYSTEM WITH THE SECOND TYPE OF CONSTRAINTS . Acta Physica Sinica, 2001, 50(5): 816-819. doi: 10.7498/aps.50.816

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Vol. 53, Issue 8 - 2004-04-20

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Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system

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Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system

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