Email this article Reduction of a Hamilton — Jacobi Equation for Nonholonomic Systems
- Authors: Esen O.1, Jiménez V.M.2, de León M.3,4, Sardón C.2
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Affiliations:
- Department of Mathematics
- Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas
- Campus Cantoblanco, UAM
- Fisicas y Naturales
- Issue: Vol 24, No 5 (2019)
- Pages: 525-559
- Section: Sergey Chaplygin Memorial Issue
- URL: https://ogarev-online.ru/1560-3547/article/view/219380
- DOI: https://doi.org/10.1134/S156035471905006X
- ID: 219380
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Abstract
We discuss, in all generality, the reduction of a Hamilton — Jacobi theory for systems subject to nonholonomic constraints and invariant under the action of a group of symmetries. We consider nonholonomic systems subject to both linear and nonlinear constraints and with different positioning of such constraints with respect to the symmetries.
About the authors
Oğul Esen
Department of Mathematics
Author for correspondence.
Email: oesen@gtu.edu.tr
Turkey, Gebze, Kocaeli, 41400
Victor M. Jiménez
Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas
Author for correspondence.
Email: victor.jimenez@icmat.es
Spain, C/ Nicolás Cabrera 13-144, Zapopan, 28049
Manuel de León
Campus Cantoblanco, UAM; Fisicas y Naturales
Author for correspondence.
Email: mdeleon@icmat.es
Spain, C/ Nicolás Cabrera 13-15, Madrid, 28049; C/de Valverde 22, Madrid, 28004
Cristina Sardón
Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas
Author for correspondence.
Email: cristinasardon@icmat.es
Spain, C/ Nicolás Cabrera 13-144, Zapopan, 28049
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