商丘师范学院学报
商丘師範學院學報
상구사범학원학보
JOURNAL OF SHANGQIU TEACHERS COLLEGE
2013年
9期
35-40
,共6页
高阶非完整系统%广义Tzénoff方程%Mei对称%新守恒量
高階非完整繫統%廣義Tzénoff方程%Mei對稱%新守恆量
고계비완정계통%엄의Tzénoff방정%Mei대칭%신수항량
higher -order nonholonomic system%generalized Tzénoff equations%Mei symmetry%new conserved quantities
研究了高阶非完整系统广义Tzénoff方程的Mei对称性及其所导出的新守恒量,给出了这种新守恒量的函数表达式和导出这种守恒量的判据方程。该研究结果具有一般性,为探究任意阶非完整系统广义Tzénoff方程的守恒规律奠定了理论基础。
研究瞭高階非完整繫統廣義Tzénoff方程的Mei對稱性及其所導齣的新守恆量,給齣瞭這種新守恆量的函數錶達式和導齣這種守恆量的判據方程。該研究結果具有一般性,為探究任意階非完整繫統廣義Tzénoff方程的守恆規律奠定瞭理論基礎。
연구료고계비완정계통엄의Tzénoff방정적Mei대칭성급기소도출적신수항량,급출료저충신수항량적함수표체식화도출저충수항량적판거방정。해연구결과구유일반성,위탐구임의계비완정계통엄의Tzénoff방정적수항규률전정료이론기출。
The Mei symmetry of generalized Tzénoff equations of the higher -order nonholonomic system and new conserved quantities derived from that are studied in this paper .The function expression and criterion equation of these new conserved quantities are given .This result is general and establishes the theory basis for researching the conversed laws of generalized Tz énoff equations of any order nonholonomic system .