Publication details
Dynamics of nonholonomic systems
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Appeared in Conference without Proceedings |
| MU Faculty or unit | |
| Citation | |
| Description | 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. |