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arXiv · 1609.01965

Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems

Bozidar Jovanovic
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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.

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Bozidar Jovanovic. 2016-09-07. Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems. https://doi.org/10.3934/jgm.2018006

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