| ROSSI, Olga and Jana MUSILOVÁ. On the inverse variational problem in nonholonomic mechanics. Communications in Mathematics. Ostrava, CR: The University of Ostrava, 2012, 18/2010, No 1, p. 47-68. ISSN 1804-1388. |
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@article{1075096,
author = {Rossi, Olga and Musilová, Jana},
article_location = {Ostrava, CR},
article_number = {1},
keywords = {The inverse problem of the calculus of variations; Helmholtz conditions; nonholonomic variational principle},
language = {eng},
issn = {1804-1388},
journal = {Communications in Mathematics},
title = {On the inverse variational problem in nonholonomic mechanics},
volume = {18/2010},
year = {2012}
}
TY - JOUR
ID - 1075096
AU - Rossi, Olga - Musilová, Jana
PY - 2012
TI - On the inverse variational problem in nonholonomic mechanics
JF - Communications in Mathematics
VL - 18/2010
IS - 1
SP - 47-68
EP - 47-68
PB - The University of Ostrava
SN - 18041388
KW - The inverse problem of the calculus of variations
KW - Helmholtz conditions
KW - nonholonomic variational principle
N2 - The inverse problem of the calculus of variations in a nonholonomic setting is studied. The concept of constraint variationality is introduced on the basis of a recently discovered nonholonomic variational principle. Variational properties of rst order mechanical systems with general nonholonomic constraints are studied. It is shown that constraint variationality is equivalent with the existence of a closed representative in the class of 2-forms determining the nonholonomic system. Together with the recently found constraint Helmholtz conditions this result completes basic geometric properties of constraint variational systems. A few examples of constraint variational systems are discussed.
ER -
ROSSI, Olga and Jana MUSILOVÁ. On the inverse variational problem in nonholonomic mechanics. \textit{Communications in Mathematics}. Ostrava, CR: The University of Ostrava, 2012, 18/2010, No~1, p.~47-68. ISSN~1804-1388.
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