4 papers
Affine generalizations of the nonholonomic problem of a convex body rolling without slipping on the plane
M. Costa Villegas, L. C. García-Naranjo
We introduce a class of examples which provide an affine generalization of the nonholonomic problem of a convex body rolling without slipping on the plane. We investigate dynamical…
Almost-Poisson brackets for nonholonomic systems with gyroscopic terms and Hamiltonisation
L. C. García-Naranjo, J. C. Marrero, D. Martín de Diego +1
We extend known constructions of almost-Poisson brackets and their gauge transformations to nonholonomic systems whose Lagrangian is not mechanical but possesses a gyroscopic term…
Integrability of the -dimensional axially symmetric Chaplygin sphere
Luis C. Garcia-Naranjo
We consider the -dimensional Chaplygin sphere under the assumption that the mass distribution of the sphere is axisymmetric. We prove that for initial conditions whose angular m…
-Chaplygin systems with internal symmetries, truncation, and an (almost) symplectic view of Chaplygin's ball
Simon Hochgerner, Luis Garcia-Naranjo
Via compression ([11, 7]) we write the -dimensional Chaplygin sphere system as an almost Hamiltonian system on with internal symmetry group . We show how thi…