动力学与控制学报
動力學與控製學報
동역학여공제학보
JOURNAL OF DYNAMICS AND CONTROL
2014年
2期
105-110
,共6页
张斌%方建会%张东爱%徐瑞莉%刘学锋
張斌%方建會%張東愛%徐瑞莉%劉學鋒
장빈%방건회%장동애%서서리%류학봉
相对论%非完整系统%Lagrange对称性%守恒量
相對論%非完整繫統%Lagrange對稱性%守恆量
상대론%비완정계통%Lagrange대칭성%수항량
relativisitc%nonholonomic system%symmetry of Lagrangians%conserved quantity
本文研究相对论性非完整系统的Lagrange对称性,给出相对论性非完整系统Lagrange 对称性的判据,得到相对论性非完整系统Lagrange对称性导致的守恒量及其存在条件,最后举例说明结果的应用。
本文研究相對論性非完整繫統的Lagrange對稱性,給齣相對論性非完整繫統Lagrange 對稱性的判據,得到相對論性非完整繫統Lagrange對稱性導緻的守恆量及其存在條件,最後舉例說明結果的應用。
본문연구상대론성비완정계통적Lagrange대칭성,급출상대론성비완정계통Lagrange 대칭성적판거,득도상대론성비완정계통Lagrange대칭성도치적수항량급기존재조건,최후거례설명결과적응용。
In this paper,we are study the symmetry of Lagrangians and the conserved quantities for a nonholo-nomic relativistic system.The Criterion of the symmetry for a nonholonomic relativistic system is given.Then the conditions under which there exist a conserved quantity and the form of the conserved quantity are obtained.And finally there is an example to illustrate the application of the results.