Authors: Jovanović, Božidar 
Title: Symmetries of line bundles and noether theorem for time-dependent nonholonomic systems
Journal: Journal of Geometric Mechanics
Volume: 10
Issue: 2
First page: 173
Last page: 187
Issue Date: 18-Jun-2018
Rank: M22
ISSN: 1941-4889
DOI: 10.3934/jgm.2018006
Abstract: 
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.
Keywords: Gauge symmetries | Momentum equation | Moving energy. | Noether's integrals | Poincaré-Cartan form | Time-dependent a fine con-straints
Publisher: American Institute of Mathematical Sciences
Project: Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems 

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