Reduction of nonholonomic mechanical systems with symmetries

被引：48

作者：

Cantrijn, F

de León, M

Marrero, JC

de Diego, DM

机构：

[1] Univ Ghent, Theoret Mech Div, B-9000 Ghent, Belgium

[2] CSIC, Inst Matemat & Fis Fundamental, E-28006 Madrid, Spain

[3] Univ La Laguna, Fac Matemat, Dept Matemat Fundamental, Tenerife, Canary Islands, Spain

[4] Univ Nacl Educ Distancia, Dept Econ Aplicada Cuantitat, Madrid 28040, Spain

来源：

REPORTS ON MATHEMATICAL PHYSICS | 1998年 / 42卷 / 1-2期

关键词：

nonholonomic constraints; symmetries; conservation laws; reduction; nonholonomic momentum map; nonholonomic brackets;

D O I：

10.1016/S0034-4877(98)80003-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A geometric reduction procedure is presented for Lagrangian systems subjected to non-linear nonholonomic constraints in the presence of symmetries. Our approach is based on a geometrical method which enables one to deduce the constrained dynamics from the unconstrained one by projection. (1991) MS Classification: 58F05, 70H33, 70H35, 70H30.

引用

页码：25 / 45

页数：21

共 29 条

[1]

Abraham R., 1978, Foundations of mechanics

[2]

[Anonymous], 1996, EXTRACTA MATH

[3]

Bates L., 1996, Reports on Mathematical Physics, V37, P295, DOI 10.1016/0034-4877(96)84069-9

[4]

Bates L., 1993, Reports on Mathematical Physics, V32, P99, DOI 10.1016/0034-4877(93)90073-N

[5]

BHASKARA KH, 1988, RES NOTES MATH, V174

[6] Nonholonomic mechanical systems with symmetry [J].

Bloch, AM ;

Krishnaprasad, PS ;

Marsden, JE ;

Murray, RM .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1996, 136 (01) :21-99

[7]

CANTRIJN F, 1997, P NAT C THEOR APPL M, P31

[8]

CANTRIJN F, UNPUB REDUCTION CONS

[9]

Cushman R., 1995, Reports on Mathematical Physics, V36, P275, DOI 10.1016/0034-4877(96)83625-1

[10] On the geometry of non-holonomic Lagrangian systems [J].

deLeon, M ;

deDiego, DM .

JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (07) :3389-3414

← 1 2 3 →