We characterize the conditions for the conservation of the energy and of the com- ponents of the momentum maps of lifted actions, and of their ‘gauge-like’ gener- alizations, in time-independent nonholonomic mechanical systems with affine con- straints. These conditions involve geometrical and mechanical properties of the system, and are codified in the so-called reaction-annihilator distribution.
Conservation of energy and momenta in nonholonomic systems with affine constraints
FASSO', FRANCESCO
;
2015
Abstract
We characterize the conditions for the conservation of the energy and of the com- ponents of the momentum maps of lifted actions, and of their ‘gauge-like’ gener- alizations, in time-independent nonholonomic mechanical systems with affine con- straints. These conditions involve geometrical and mechanical properties of the system, and are codified in the so-called reaction-annihilator distribution.File in questo prodotto:
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