52 citations · 372 across the 36 of their papers we have counts for
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math.NA2022★ 8 cited
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Non-separable Hamiltonian Systems
Tomoki Ohsawa
We prove that the recently developed semiexplicit symplectic integrators for non-separable Hamiltonian systems preserve any linear and quadratic invariants possessed by the Hamilto…
math.OC2022★ 1 cited
Optimal Control with Broken Symmetry of Multi-Agent Systems on Lie Groups
Efstratios Stratoglou, Leonardo Colombo, Tomoki Ohsawa
In this paper we study reduction by symmetry for optimality conditions in optimal control problems of left-invariant affine multi-agent control systems, with partial symmetry break…
math-ph2022★ 2 cited
Shape Dynamics of Point Vortices on the Sphere
Tomoki Ohsawa
We give a geometric account of the relative motion or the shape dynamics of point vortices on the sphere exploiting the -symmetry of the system. The main idea i…