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math.DS2021★ 11 cited
First Integrals and symmetries of nonholonomic systems
Paula Balseiro, Nicola Sansonetto
In nonholonomic mechanics, the presence of constraints in the velocities breaks the well-under\-stood link between symmetries and first integrals of holonomic systems, expressed in…
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…