Nonholonomic variational systems

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Authors

KRUPKOVÁ Olga MUSILOVÁ Jana

Year of publication 2005
Type Article in Periodical
Magazine / Source Reports on Mathematical Physics
MU Faculty or unit

Faculty of Science

Citation
Field Theoretical physics
Keywords nonholonomic constraints; costraint variationality; inverzní variační problém; vázané Helmholtzovy podmínky; vázaný lagrangián
Description Nonholonomic mechanical systems on constraint submanifolds of first-order jet bundles are studied. A concept of variationality appropriate for constrained systems is introduced. The inverse problem for constrained systems is introduced. The inverse problem for constraint motion equations is considered, and corresponding constraint variationality conditions, generalizing the Helmholtz conditions are derived.
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