SYMMETRIES OF LINE BUNDLES AND NOETHER THEOREM FOR TIME-DEPENDENT NONHOLONOMIC SYSTEMS

被引：6

作者：

Jovanovic, Bozidar ^{[1
]}

机构：

[1] Serbian Acad Arts & Sci, Math Inst SANU, Kneza Mihaila 36, Belgrade 11000, Serbia

来源：

JOURNAL OF GEOMETRIC MECHANICS | 2018年 / 10卷 / 02期

关键词：

Noether's integrals; Poincare-Cartan form; time-dependent affine constraints; momentum equation; gauge symmetries; moving energy; CONSERVATION-LAWS; MECHANICAL SYSTEMS; INTEGRABILITY; REDUCTION; ENERGY;

D O I：

10.3934/jgm.2018006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Noether symmetries of the equations defined by the sections of characteristic line bundles of nondegenerate 1-forms and of the associated perturbed systems. It appears that this framework can be used for time-dependent systems with constraints and nonconservative forces, allowing a quite simple and transparent formulation of the momentum equation and the Noether theorem in their general forms.

引用

页码：173 / 187

页数：15

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