SYMMETRIES AND CONSTANTS OF THE MOTION FOR HIGHER-ORDER LAGRANGIAN SYSTEMS

被引：15
|
作者：
DELEON, M [1 ]
DEDIEGO, DM [1 ]
机构：
[1] UNIV NACL EDUC DISTANCIA,FAC CIENCIAS ECON & EMPRESARIALES,DEPT ECON APLICADA CUANTITAT,E-28040 MADRID,SPAIN
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 08期
关键词：
D O I：
10.1063/1.530952
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We obtain a classification of infinitesimal symmetries of an autonomous higher-order Lagrangian system by using the theory of lifts of vector fields to tangent bundles. Also, a classification of infinitesimal symmetries of a time-dependent higher-order Lagrangian system is obtained. The relationship between infinitesimal symmetries and constants of the motion is investigated. (C) 1995 American Institute of Physics.
引用
收藏
页码：4138 / 4161
页数：24
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