NOETHER’S THEORY OF BIRKHOFF SYSTEMS WITH UNILATERAL CONSTRAINTS

ZHANG HONG-BIN

doi:10.7498/aps.50.1837

Abstract
Noether’s theory of Birkhoff systems with unilateral constraints by introducing the quasi-symmetry of infinitesimal transformations of the transformation group Gr is presented and an example is given to illustrate the application of the result.

Keywords:
analytical mechanics /

Birkhoff systems with unilateral constraints /

conserved quantity /

symmetry /

Noether’s theorem
Authors and contacts
ZHANG HONG-BIN

1.
巢湖师专物理系,巢湖238000
References

Cited By

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[2]	Dong Wen-Shan, Huang Bao-Xin. Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems. Acta Physica Sinica, 2010, 59(1): 1-6. doi: 10.7498/aps.59.1
[3]	Lou Zhi-Mei. The extended Prelle-Singer method for the conserved quantities of second-ordinary nonlinear coupled dynamics systems and their symmetries. Acta Physica Sinica, 2010, 59(2): 719-723. doi: 10.7498/aps.59.719
[4]	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
[5]	Lu Kai, Fang Jian-Hui, Zhang Ming-Jiang, Wang Peng. Noether symmetry and Mei symmetry of discrete holonomic system in phase space. Acta Physica Sinica, 2009, 58(11): 7421-7425. doi: 10.7498/aps.58.7421
[6]	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
[7]	Luo Shao-Kai. A new type of non-Noether adiabatic invariants, i.e. adiabatic invariants of Lut zky type, for Lagrangian systems. Acta Physica Sinica, 2007, 56(10): 5580-5584. doi: 10.7498/aps.56.5580
[8]	Hu Chu-Le. Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems. Acta Physica Sinica, 2007, 56(7): 3675-3677. doi: 10.7498/aps.56.3675
[9]	Zhang Yi. Non-Noether conserved quantities for systems with unilateral non-Chetaev nonholonomic constraints. Acta Physica Sinica, 2006, 55(2): 504-510. doi: 10.7498/aps.55.504
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[14]	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
[15]	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
[16]	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
[17]	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
[18]	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
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[20]	Zhang Yi. . Acta Physica Sinica, 2002, 51(3): 461-464. doi: 10.7498/aps.51.461

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Vol. 50, Issue 10 - 2001-05-20

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NOETHER’S THEORY OF BIRKHOFF SYSTEMS WITH UNILATERAL CONSTRAINTS

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NOETHER’S THEORY OF BIRKHOFF SYSTEMS WITH UNILATERAL CONSTRAINTS

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