Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems

doi:10.1088/1674-1056/21/4/040201

Abstract This paper focuses on studying Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems. Firstly, the discrete generalized Hamiltonian canonical equations and discrete energy equation of nonholonomic Hamiltonian systems are derived from discrete Hamiltonian action. Secondly, the determining equations and structure equation of Lie symmetry of the system are obtained. Thirdly, the Lie theorems and the conservation quantities are given for the discrete nonholonomic Hamiltonian systems. Finally, an example is discussed to illustrate the application of the results.

Keywords: Lie symmetry nonholonomic constraint discrete Hamiltonian system conserved quantity

Received: 16 July 2011
Revised: 19 September 2011
Accepted manuscript online:

PACS:	02.20.-a	(Group theory)
	02.30.Ik	(Integrable systems)
	02.30.Ks	(Delay and functional equations)

Fund: Project supported by the National Natural Science Foundations of China (Grant No. 11072218) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6110314)

Corresponding Authors: Fu Jing-Li, E-mail:sqfujingli@163.com
E-mail: sqfujingli@163.com

Cite this article:

Wang Xing-Zhong(王性忠), Fu Hao(付昊), and Fu Jing-Li(傅景礼) Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems 2012 Chin. Phys. B 21 040201

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