2 citations · 3 across the 2 of their papers we have counts for
9 papers
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…
Approximation of Semiclassical Expectation Values by Symplectic Gaussian Wave Packet Dynamics
Tomoki Ohsawa
This paper concerns an approximation of the expectation values of the position and momentum of the solution to the semiclassical Schrödinger equation with a Gaussian as the initial…
Variational Optimization on Lie Groups, with Examples of Leading (Generalized) Eigenvalue Problems
Molei Tao, Tomoki Ohsawa
The article considers smooth optimization of functions on Lie groups. By generalizing NAG variational principle in vector space (Wibisono et al., 2016) to Lie groups, continuous Li…
Collective Heavy Top Dynamics
Tomoki Ohsawa
We construct a Poisson map with respect to the canonical Poisson bracket on $T^{*}\mathbb{C}^{2} \cong T^{*}\mathbb{…
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…