A NEW LOOK AT 2ND-ORDER EQUATIONS AND LAGRANGIAN MECHANICS

被引:32
作者
SARLET, W [1 ]
CANTRIJN, F [1 ]
CRAMPIN, M [1 ]
机构
[1] OPEN UNIV,FAC MATH,MILTON KEYNES MK7 6AA,BUCKS,ENGLAND
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1984年 / 17卷 / 10期
关键词
D O I
10.1088/0305-4470/17/10/012
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:1999 / 2009
页数:11
相关论文
共 13 条
[1]   VECTOR-FIELDS GENERATING INVARIANTS FOR CLASSICAL DISSIPATIVE SYSTEMS [J].
CANTRIJN, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (09) :1589-1595
[2]  
CLARK RS, 1960, CR HEBD ACAD SCI, V251, P627
[3]   DEFINING EULER-LAGRANGE FIELDS IN TERMS OF ALMOST TANGENT STRUCTURES [J].
CRAMPIN, M .
PHYSICS LETTERS A, 1983, 95 (09) :466-468
[4]   TANGENT BUNDLE GEOMETRY FOR LAGRANGIAN DYNAMICS [J].
CRAMPIN, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (16) :3755-3772
[5]   QUASI-TANGENT STRUCTURE AND CONNECTIONS .1. [J].
GRIFONE, J .
ANNALES DE L INSTITUT FOURIER, 1972, 22 (01) :287-&
[6]   QUASI-TANGENT STRUCTURE AND CONNECTIONS .2. [J].
GRIFONE, J .
ANNALES DE L INSTITUT FOURIER, 1972, 22 (03) :291-338
[7]  
KLEIN J, 1983, 1982 P IUTAM ISIMM S
[8]  
Klein J., 1974, S MATH, V14, P181
[9]  
Klein J, 1962, ANN I FOURIER GRENOB, V12, P1
[10]   AMBIGUITIES IN LAGRANGIAN AND HAMILTONIAN FORMALISM - TRANSFORMATION PROPERTIES [J].
MARMO, G ;
SALETAN, EJ .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1977, 40 (01) :67-89