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The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem

Michael Crampin and Tom Mestdag UGent (2011) INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 8(4). p.897-923
abstract
This paper deals with conservation laws for mechanical systems with nonholonomic constraints. It uses a Lagrangian formulation of nonholonomic systems and a Cartan form approach. We present what we believe to be the most general relations between symmetries and first integrals. We discuss the so-called nonholonomic Noether theorem in terms of our formalism, and we give applications to Riemannian submanifolds, to Lagrangians of mechanical type, and to the determination of quadratic first integrals.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Noether theorem, symmetries, nonholonomic constraints, Lagrangian system, first integrals, conservation laws, GEOMETRY, SYMMETRY, REDUCTION, MECHANICS
journal title
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
Int. J. Geom. Methods Mod. Phys.
volume
8
issue
4
pages
897 - 923
Web of Science type
Article
Web of Science id
000292778200012
JCR category
PHYSICS, MATHEMATICAL
JCR impact factor
0.856 (2011)
JCR rank
34/55 (2011)
JCR quartile
3 (2011)
ISSN
0219-8878
DOI
10.1142/S0219887811005452
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1870773
handle
http://hdl.handle.net/1854/LU-1870773
alternative location
http://arxiv.org/PS_cache/arxiv/pdf/1101/1101.3153v1.pdf
date created
2011-08-09 09:27:48
date last changed
2016-12-19 15:46:41
@article{1870773,
  abstract     = {This paper deals with conservation laws for mechanical systems with nonholonomic constraints. It uses a Lagrangian formulation of nonholonomic systems and a Cartan form approach. We present what we believe to be the most general relations between symmetries and first integrals. We discuss the so-called nonholonomic Noether theorem in terms of our formalism, and we give applications to Riemannian submanifolds, to Lagrangians of mechanical type, and to the determination of quadratic first integrals.},
  author       = {Crampin, Michael and Mestdag, Tom},
  issn         = {0219-8878},
  journal      = {INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS},
  keyword      = {Noether theorem,symmetries,nonholonomic constraints,Lagrangian system,first integrals,conservation laws,GEOMETRY,SYMMETRY,REDUCTION,MECHANICS},
  language     = {eng},
  number       = {4},
  pages        = {897--923},
  title        = {The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem},
  url          = {http://dx.doi.org/10.1142/S0219887811005452},
  volume       = {8},
  year         = {2011},
}

Chicago
Crampin, Michael, and Tom Mestdag. 2011. “The Cartan Form for Constrained Lagrangian Systems and the Nonholonomic Noether Theorem.” International Journal of Geometric Methods in Modern Physics 8 (4): 897–923.
APA
Crampin, Michael, & Mestdag, T. (2011). The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 8(4), 897–923.
Vancouver
1.
Crampin M, Mestdag T. The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2011;8(4):897–923.
MLA
Crampin, Michael, and Tom Mestdag. “The Cartan Form for Constrained Lagrangian Systems and the Nonholonomic Noether Theorem.” INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 8.4 (2011): 897–923. Print.