111 citations · 1.1k across the 69 of their papers we have counts for
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Radial kinetic nonholonomic trajectories are Riemannian geodesics!
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martin de Diego
Nonholonomic mechanics describes the motion of systems constrained by nonintegrable constraints. One of its most remarkable properties is that the derivation of the nonholonomic eq…
Jacobi fields in nonholonomic mechanics
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martin de Diego
In this paper, we define Jacobi fields for nonholonomic mechanics using a similar characterization than in Riemannian geometry. We give explicit conditions to find Jacobi fields an…
Exact discrete Lagrangian mechanics for nonholonomic mechanics
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martin de Diego
We construct the exponential map associated to a nonholonomic system that allows us to define an exact discrete nonholonomic constraint submanifold. We reproduce the continuous non…