On the inverse variational problem in nonholonomic mechanics

Investor logo

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

ROSSI Olga MUSILOVÁ Jana

Year of publication 2012
Type Article in Periodical
Magazine / Source Communications in Mathematics
MU Faculty or unit

Faculty of Science

Citation
Field Theoretical physics
Keywords The inverse problem of the calculus of variations; Helmholtz conditions; nonholonomic variational principle
Description 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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.