82 citations · 290 across the 14 of their papers we have counts for
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math.DS2015★ 6 cited
A Geometric Characterization of Certain First Integrals for Nonholonomic Systems with Symmetries
Paula Balseiro, Nicola Sansonetto
We study the existence of first integrals in nonholonomic systems with symmetry. First we define the concept of -cotangent lift of a vector field on a manifold in…
math.DS2015★ 22 cited
Conservation of energy and momenta in nonholonomic systems with affine constraints
Francesco Fassò, Nicola Sansonetto
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-i…
math.DS2015★ 22 cited
Conservation of `moving' energy in nonholonomic systems with affine constraints and integrability of spheres on rotating surfaces
Francesco Fassò, Nicola Sansonetto
Energy is in general not conserved for mechanical nonholonomic systems with affine constraints. In this article we point out that, nevertheless, in certain cases, there is a modifi…