Detailed Information on Publication Record
2012
On the inverse variational problem in nonholonomic mechanics
ROSSI, Olga and Jana MUSILOVÁBasic information
Original name
On the inverse variational problem in nonholonomic mechanics
Name in Czech
Inversni variacni problem v neholon omni mechanice
Authors
ROSSI, Olga (203 Czech Republic) and Jana MUSILOVÁ (203 Czech Republic, guarantor, belonging to the institution)
Edition
Communications in Mathematics, Ostrava, CR, The University of Ostrava, 2012, 1804-1388
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10301 Atomic, molecular and chemical physics
Country of publisher
Czech Republic
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/00216224:14310/12:00057849
Organization unit
Faculty of Science
Keywords (in Czech)
Inversní variační problém, Helmholtzovy podmínky, neholonomní variační princip
Keywords in English
The inverse problem of the calculus of variations; Helmholtz conditions; nonholonomic variational principle
Tags
International impact, Reviewed
Změněno: 11/4/2013 12:26, Ing. Andrea Mikešková
V originále
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.
In Czech
Studuje se unversní variašní problém, je zaveden pojen vázané variačnosti na základě neholonomního variačního principu. Uvedeny příklady.
Links
| GA201/09/0981, research and development project |
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