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.SG2011★ 17 cited
Tensor products of Dirac structures and interconnection in Lagrangian mechanical systems
Henry Jacobs, Hiroaki Yoshimura
Many mechanical systems are large and complex, despite being composed of simple subsystems. In order to understand such large systems it is natural to tear the system into these su…