On the virial theorem for nonholonomic Lagrangian systems

José F.  Cariñena; Irina  Gheorghiu; Eduardo Martínez; Patrícia  Santos

doi:10.3934/proc.2015.0204

Article Contents

2015, Volume 2015: 204-212. Doi: 10.3934/proc.2015.0204 open access

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On the virial theorem for nonholonomic Lagrangian systems

1.
Department of Theoretical Physics, University of Zaragoza
2.
IUMA and Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza
3.
CMUC, University of Coimbra, and Polytech. Inst. of Coimbra, ISEC

Received: August 31, 2014

Revised: December 31, 2014

Published: October 2015

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Abstract

A generalization of the virial theorem to nonholonomic Lagrangian systems is given. We will first establish the theorem in terms of Lagrange multipliers and later on in terms of the nonholonomic bracket.

Keywords:

Mathematics Subject Classification: 37J05, 70H05, 70G45.

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