Mei symmetry and conservation laws of discrete nonholonomic dynamical systems with regular and irregular lattices

doi:10.1088/1674-1056/22/3/030201

Abstract In this paper, Noether symmetry and Mei symmetry of discrete nonholonomic dynamical systems with regular and the irregular lattices are investigated. Firstly, the equations of motion of discrete nonholonomic systems are introduced on the regular and rregular lattices. Secondly, for cases of the two lattices, based on the invariance of the Hamiltomian functional under the infinitesimal transformation of time and generalized coordinates, we present the quasi-extremal equation, the discrete analogues of Noether identity, Noether theorems, and the Noether conservation laws of the systems. Thirdly, in cases of the two lattices, we study the Mei symmetry in which we give the discrete analogues of the criterion, the theorem, and the conservative laws of Mei symmetry for the systems. Finally, an example is discussed for applications of the results.

Keywords: regular and irregular lattice nonholonomic system Noether symmetry Mei symmetry

Received: 17 June 2012
Revised: 07 August 2012
Accepted manuscript online:

PACS:	02.20.-a	(Group theory)
	02.30.lk
	11.30.-j	(Symmetry and conservation laws)
	45.05.+x	(General theory of classical mechanics of discrete systems)

Fund: Project supported by the National Outstanding Young Scientist Fund of China (Grant No. 10725209), the National Natural Science Foundation of China (Grant No. 11072218), and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6110314).

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

Cite this article:

Zhao Gang-Ling (赵纲领), Chen Li-Qun (陈立群), Fu Jing-Li (傅景礼), Hong Fang-Yu (洪方昱) Mei symmetry and conservation laws of discrete nonholonomic dynamical systems with regular and irregular lattices 2013 Chin. Phys. B 22 030201

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Mei symmetry and conservation laws of discrete nonholonomic dynamical systems with regular and irregular lattices

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