52 citations · 372 across the 36 of their papers we have counts for
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The Symmetric Representation of the Generalized Rigid Body Equations and Symplectic Reduction
Tomoki Ohsawa
We show that a symplectic reduction of the symmetric representation of the generalized -dimensional rigid body equations yields the -dimensional Euler equation. This result p…
Dual Pairs and Regularization of Kummer Shapes in Resonances
Tomoki Ohsawa
We present an account of dual pairs and the Kummer shapes for resonances that provides an alternative to Holm and Vizman's work. The advantages of our point of view are that…
Geometric Kinematic Control of a Spherical Rolling Robot
Tomoki Ohsawa
We give a geometric account of kinematic control of a spherical rolling robot controlled by two internal wheels just like the toy robot Sphero. Particularly, we introduce the notio…
Symplectic Reduction and the Lie--Poisson Shape Dynamics of Point Vortices on the Plane
Tomoki Ohsawa
We show that the symplectic reduction of the dynamics of point vortices on the plane by the special Euclidean group yields a Lie--Poisson equation for relative…