| Abstract: |
| Nonholonomic systems with constraints that are affine functions
of the velocities do not typically conserve energy. Nevertheless there
might exists modifications of the energy, called moving energies, that
under certain conditions are first integrals of the systems.
In this talk we will discuss the conservation of the energy for nonholonomic
systems with affine constraints and investigate the existence of moving energies
if the energy is not preserved, furthermore we will relate the existence
of moving energies to the presence of symmetries. Then we will apply
the obtained results to a class of nonholonomic systems with affine constraints. |
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