Form invariance of second-order linear nonholonomic systems in phase space

Lou Zhi-Mei

doi:10.7498/aps.53.2046

Abstract
In this paper, the form invariance of second-order linear nonholonomic systems in the phase space is studied. The definition and criterion of the form invariance of secondorder linear nonholonomic systems in the phase space is given. The structure equations and the conserved quantities of the form invariance are obtained. and an example is given to illustrate the application of the results.

Keywords:
phase space /

second-order linear nonholonomic systems /

form invariance /

conserved quantity
Authors and contacts
Lou Zhi-Mei

1.
绍兴文理学院物理系，绍兴 312000
References

Cited By

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[2]	Wang Ting-Zhi, Sun Xian-Ting, Han Yue-Lin. Conformal invariance and conserved quantity of relative motion holonomic dynamical system in phase space. Acta Physica Sinica, 2014, 63(10): 104502. doi: 10.7498/aps.63.104502
[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]	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
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[7]	Hu Chu-Le, Xie Jia-Fang. Form invariance and Hojman conserved quantity of Maggi equation. Acta Physica Sinica, 2007, 56(9): 5045-5048. doi: 10.7498/aps.56.5045
[8]	Qiao Yong-Fen, Zhao Shu-Hong. Form invariance and non-Noether conserved quantity of generalized Raitzin’s canonical equations of non-conservative system. Acta Physica Sinica, 2006, 55(2): 499-503. doi: 10.7498/aps.55.499
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[10]	Lou Zhi-Mei. Form invariance for Hamiltonian Ermakov systems. Acta Physica Sinica, 2005, 54(5): 1969-1971. doi: 10.7498/aps.54.1969
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[14]	Fang Jian－Hui, Zhang Peng－Yu. The conserved quantity of Hojman for mechanicalsystems with variable mass in phase space. Acta Physica Sinica, 2004, 53(12): 4041-4044. doi: 10.7498/aps.53.4041
[15]	Luo Shao-Kai, Guo Yong-Xin, Mei Feng-Xiang. Form invariance and Hojman conserved quantity for nonholonomic mechanical systems. Acta Physica Sinica, 2004, 53(8): 2413-2418. doi: 10.7498/aps.53.2413
[16]	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
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[19]	Chen Pei-Sheng, Fang Jian-Hui. Form invariance of nonconservative nonholonomic systems in the phase space. Acta Physica Sinica, 2003, 52(5): 1044-1047. doi: 10.7498/aps.52.1044
[20]	Ge Wei-Kuan. . Acta Physica Sinica, 2002, 51(5): 939-942. doi: 10.7498/aps.51.939

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Vol. 53, Issue 7 - 2004-04-05

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Form invariance of second-order linear nonholonomic systems in phase space

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Form invariance of second-order linear nonholonomic systems in phase space

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