Effects of non-conservative forces and nonholonomic constraints on Lie symmetrie s of a Hamiltonian system

Zhang Yi

doi:10.7498/aps.52.1326

Abstract
The effects of non-conservative forces and nonholonomic constraints on Lie symmetries and conserved quantities of a Hamiltonian system are studied. When non-conservative forces or nonholonomic constraints are inserted in the Hamiltonian system, we obtain the conditions under which Lie symmetries, structure equation and conserved quantities of the system will remain present. The famous Emden equation and Appell-Hamel model are taken as examples to illustrate the application of the results.

Keywords:
analytical mechanics /

Hamiltonian system /

non-conservative force /

no nholonomic constraint /

symmetry /

conserved quantity
Authors and contacts
Zhang Yi

1.
苏州科技学院土木工程系，苏州 215011
References

Cited By

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[2]	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
[3]	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
[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]	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
[6]	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
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Vol. 52, Issue 6 - 2003-03-20

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Effects of non-conservative forces and nonholonomic constraints on Lie symmetrie s of a Hamiltonian system

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Effects of non-conservative forces and nonholonomic constraints on Lie symmetrie s of a Hamiltonian system

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