We characterize the conditions for the conservation of the energy and of the components of the momentum maps of lifted actions, and of their "gauge-like" generalizations, in time-independent nonholonomic mechanical systems with affine constraints. 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

Sansonetto, Nicola
2015-01-01

Abstract

We characterize the conditions for the conservation of the energy and of the components of the momentum maps of lifted actions, and of their "gauge-like" generalizations, in time-independent nonholonomic mechanical systems with affine constraints. These conditions involve geometrical and mechanical properties of the system, and are codified in the so-called reaction-annihilator distribution.
nonholonomic mechanical systems; conservation of energy; reaction-annihilator distribution; gauge momenta; nonholonomic Noether theorem
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/1010107
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