52 citations · 372 across the 36 of their papers we have counts for
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math.NA2021★ 12 cited
Semiexplicit Symplectic Integrators for Non-separable Hamiltonian Systems
Buddhika Jayawardana, Tomoki Ohsawa
We construct a symplectic integrator for non-separable Hamiltonian systems combining an extended phase space approach of Pihajoki and the symmetric projection method. The resulting…
math-ph2021★ 4 cited
Clebsch Canonization of Lie-Poisson Systems
Buddhika Jayawardana, Philip J. Morrison, Tomoki Ohsawa
We propose a systematic procedure called the Clebsch canonization for obtaining a canonical Hamiltonian system that is related to a given Lie-Poisson equation via a momentum map. W…
math.OC2021
Controlled Lagrangians and Stabilization of Euler--Poincaré Mechanical Systems with Broken Symmetry II: Potential Shaping
César Contreras, Tomoki Ohsawa
We apply the method of controlled Lagrangians by potential shaping to Euler--Poincaré mechanical systems with broken symmetry. We assume that the configuration space is a general s…