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.
Citation:
Francesco Fassò, Nicola Sansonetto, “Conservation of Energy and Momenta in Nonholonomic Systems with Affine Constraints”, Regul. Chaotic Dyn., 20:4 (2015), 449–462
\Bibitem{FasSan15}
\by Francesco Fass\`o, Nicola Sansonetto
\paper Conservation of Energy and Momenta in Nonholonomic Systems with Affine Constraints
\jour Regul. Chaotic Dyn.
\yr 2015
\vol 20
\issue 4
\pages 449--462
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