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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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