欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
研究Chetaev型非完整系统Mei对称性的共形不变性与守恒量.引入无限小单参数变换群及其生成元向量,给出与Chetaev型非完整系统相应的完整系统的Mei对称性共形不变性定义和确定方程.讨论系统共形不变性与Mei对称性的关系.利用限制方程和附加限制方程得到非完整系统弱Mei对称性和强Mei对称性的共形不变性.借助规范函数满足的结构方程导出系统相应的守恒量,并举例说明结果的应用.
英文摘要：
For a nonholonomic system of Chetaev＇s type,the conformal invariance and the conserved quantity are studied.By the infinitesimal one-parameter transformation group and the infinitesimal generator vector,the definition of conformal invariance of Mei symmetry and the determining equation for the holonomic system which corresponds to a nonholonomic system are provided,and the relationship between the system conformal invariance and Mei symmetry is discussed.Using the restriction equations and the additional restriction equations,the conformal invariances of weak and strong Mei symmetrys for the system are given.With the aid of a structure equation that gauge function satisfies,the system corresponding conserved quantity is derived.Finally,an example is given to illustrate the application of the result.
同期刊论文项目
同项目期刊论文
期刊信息
位置：