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@proceedings{1197036, author = {Čech, Michal and Musilová, Jana}, booktitle = {The VIII-th International Conference Differential Geometry and Dynamical Systems DGDS-2014}, keywords = {nonholonomic systems; symmetries; conservation laws}, language = {eng}, title = {Dynamics of nonholonomic systems}, year = {2014} }
TY - CONF ID - 1197036 AU - Čech, Michal - Musilová, Jana PY - 2014 TI - Dynamics of nonholonomic systems KW - nonholonomic systems KW - symmetries KW - conservation laws N2 - The problem of symmetries and conservation laws is a standard part of calculus of variations in mechanics as well as in the field theory. On the other hand, in theories describing constrained systems, especially non-holonomic ones, this problem is not studied satisfactorily. We study symmetries and corresponding conservation laws in non-holonomic first order mechanics (equations of motion are of the second order). Our considerations are based on the Krupková (Rossi) geometrical theory of non-holonomic mechanical systems on fibred manifolds and their jet prolongations. We show that this approach is extremely effective for studying non-holonomic systems. As a realistic example the problem of Chaplygin sleigh is presented. ER -
ČECH, Michal a Jana MUSILOVÁ. Dynamics of nonholonomic systems. In \textit{The VIII-th International Conference Differential Geometry and Dynamical Systems DGDS-2014}. 2014.
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