ROSSI, Olga a Jana MUSILOVÁ. On the inverse variational problem in nonholonomic mechanics. Communications in Mathematics. Ostrava, CR: The University of Ostrava, 2012, roč. 18/2010, č. 1, s. 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 a Jana MUSILOVÁ. On the inverse variational problem in nonholonomic mechanics. \textit{Communications in Mathematics}. Ostrava, CR: The University of Ostrava, 2012, roč.~18/2010, č.~1, s.~47-68. ISSN~1804-1388.
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