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

作　　者：赵纲领 陈立群 傅景礼 洪方昱 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University [2]Department of Mechanics,Shanghai University [3]Department of Physics and Information Engineering,Shangqiu Normal University [4]Institute of Mathematical Physics,Zhejiang Sci-Tech University

出　　处：《Chinese Physics B》2013年第3期50-56,共7页中国物理B（英文版）

基　　金：Project supported by the National Outstanding Young Scientist Fund of China (Grant No. 10725209);the National Natural Science Foundation of China (GrantNos. 11072218 and 11272287);the Natural Science Foundation of Zhejiang Province,China (Grant No. Y6110314)

摘　　要：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 for regular and irregular 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 the application of the results.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 for regular and irregular 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 the application of the results.

关 键 词：regular and irregular lattice nonholonomic system Noether symmetry Mei symmetry 

分 类 号：O316[理学—一般力学与力学基础] TP242[理学—力学]