52 citations · 372 across the 36 of their papers we have counts for
36 papers
Explicit Symplectic Integrators for Massive Point Vortex Dynamics in Binary Mixture of Bose--Einstein Condensates
Tomoki Ohsawa
We construct explicit integrators of arbitrary even orders of accuracy for massive point vortex dynamics in binary mixture of Bose--Einstein condensates proposed by Richaud et al.…
Small-Mass Asymptotics of Massive Point Vortex Dynamics in Bose--Einstein Condensates I: Averaging and Normal Forms
Tomoki Ohsawa, Andrea Richaud, Roy Goodman
We perform an asymptotic analysis of massive point-vortex dynamics in Bose--Einstein condensates in the small-mass limit . We define two distinguished manifolds…
Relative Dynamics of Vortices in Confined Bose--Einstein Condensates
Tomoki Ohsawa
We consider the relative dynamics -- the dynamics modulo rotational symmetry in this particular context -- of vortices in confined Bose--Einstein Condensates (BEC) using a fini…
Nonlinear Stability of Relative Equilibria in the Planar -Vortex Problem with Non-Zero Total Circulation
Tomoki Ohsawa
We prove a sufficient condition for nonlinear stability of relative equilibria in the planar -vortex problem with non-zero total circulation; the stability is in the sense of Ly…
Controlled Lagrangians and Stabilization of Euler--Poincaré Equations with Symmetry Breaking Nonholonomic Constraints
Jorge S. Garcia, Tomoki Ohsawa
We extend the method of Controlled Lagrangians to nonholonomic Euler--Poincaré equations with advected parameters, specifically to those mechanical systems on Lie groups whose symm…
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…
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…
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…
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…
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…
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…
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…
Controlled Lagrangians and Stabilization of Euler--Poincaré Mechanical Systems with Broken Symmetry I: Kinetic Shaping
César Contreras, Tomoki Ohsawa
We extend the method of controlled Lagrangians with kinetic shaping to those mechanical systems on semidirect product Lie groups with broken symmetry, more specifically to the Eule…
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…
Hamiltonian Dynamics of Semiclassical Gaussian Wave Packets in Electromagnetic Potentials
Nolan King, Tomoki Ohsawa
We extend our previous work on symplectic semiclassical Gaussian wave packet dynamics to incorporate electromagnetic interactions by including a vector potential. The main advantag…
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…
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…
Symplectic Semiclassical Wave Packet Dynamics II: Non-Gaussian States
Tomoki Ohsawa
We generalize our earlier work on the symplectic/Hamiltonian formulation of the dynamics of the Gaussian wave packet to non-Gaussian semiclassical wave packets. We find the symplec…
Optimal Control Problems with Symmetry Breaking Cost Functions
Anthony Bloch, Leonardo Colombo, Rohit Gupta +1
We investigate symmetry reduction of optimal control problems for left-invariant control systems on Lie groups, with partial symmetry breaking cost functions. Our approach emphasiz…
Geometry and Dynamics of Gaussian Wave Packets and their Wigner Transforms
Tomoki Ohsawa, Cesare Tronci
We find a relationship between the dynamics of the Gaussian wave packet and the dynamics of the corresponding Gaussian Wigner function from the Hamiltonian/symplectic point of view…
Quantum expectations via spectrograms
Johannes Keller, Caroline Lasser, Tomoki Ohsawa
We discuss a new phase space method for the computation of quantum expectation values in the high frequency regime. Instead of representing a wavefunction by its Wigner function, w…