Lagrangian reduction of forced discrete mechanical systems

被引：0

作者：

Caruso, Matias, I ^{[1
,2
,3
]}

Fernandez, Javier ^{[4
]}

Tori, Cora ^{[2
,5
]}

Zuccalli, Marcela ^{[1
,2
]}

机构：

[1] Univ Nacl La Plata, Fac Ciencias Exactas, Dept Matemat, La Plata, Argentina

[2] Ctr Matemat La Plata CMaLP, La Plata, Argentina

[3] Consejo Nacl Invest Cient & Tecn CONICET, Buenos Aires, Argentina

[4] Univ Nacl Cuyo CNEA, Inst Balseiro, San Carlos De Bariloche, Argentina

[5] Univ Nacl La Plata, Fac Ingn, Dept Ciencias Basicas, La Plata, Argentina

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2023年 / 56卷 / 35期

关键词：

geometric mechanics; forced discrete mechanical systems; symmetry and reduction; LIE-GROUPS; INTEGRATORS;

D O I：

10.1088/1751-8121/aceae3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we propose a process of Lagrangian reduction and reconstruction for symmetric discrete-time mechanical systems acted on by external forces, where the symmetry group action on the configuration manifold turns it into a principal bundle. We analyze the evolution of momentum maps and Poisson structures under different conditions.

引用

页数：25

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