NOETHER’S THEOREM AND ITS INVERSE OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS  被引量:17

NOETHER’S THEOREM AND ITS INVERSE OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS

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作  者:刘端 

机构地区:[1]Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, PRC

出  处:《Science China Mathematics》1991年第4期419-429,共11页中国科学:数学(英文版)

基  金:Project supported by the National Natural Science Foundation of China.

摘  要:Noether’s theorem and its inverse of nonconservative systems subject to first-ordernonlinear nonholonomic constraints are obtained by introducing the generalized quasi-symmetry of the infinitesimal transformation of the group of transformations G_t for thegiven dynamical systems.Noether's theorem and its inverse of nonconservative systems subject to first-ordernonlinear nonholonomic constraints are obtained by introducing the generalized quasi-symmetry of the infinitesimal transformation of the group of transformations G_t for thegiven dynamical systems.

关 键 词:CONSERVATION law SYMMETRY NONHOLONOMIC constraint Noether’s theorem. 

分 类 号:N[自然科学总论]

 

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