48 citations · 192 across the 20 of their papers we have counts for
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math.SG2014★ 1 cited
Dirac Reduction for Nonholonomic Mechanical Systems and Semidirect Products
François Gay-Balmaz, Hiroaki Yoshimura
This paper develops the theory of Dirac reduction by symmetry for nonholonomic systems on Lie groups with broken symmetry. The reduction is carried out for the Dirac structures, as…
math.DG2014★ 5 cited
Dirac Structures in Vakonomic Mechanics
Fernando Jiménez, Hiroaki Yoshimura
In this paper, we explore dynamics of the nonholonomic system called vakonomic mechanics in the context of Lagrange-Dirac dynamical systems using a Dirac structure and its associat…