Preprints
Journal Papers
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T. Ohsawa,
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Non-separable Hamiltonian Systems,
SIAM Journal on Numerical Analysis, 61, 3, 1293–1315, 2023.
[pdf]
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T. Ohsawa,
Shape Dynamics of N Point Vortices on the Sphere,
Nonlinearity, 36, 2, 1000–1028, 2023.
[pdf]
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B. Jayawardana and T. Ohsawa,
Semiexplicit Symplectic Integrators for Non-separable Hamiltonian Systems,
Mathematics of Computation, 92, 251–281, 2023.
[pdf]
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C. Contreras and T. Ohsawa,
Controlled Lagrangians and Stabilization of Euler–Poincaré Mechanical Systems with Broken Symmetry I: Kinetic Shaping,
SIAM Journal on Control and Optimization, 60(1): 2684–2711, 2022.
[pdf]
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B. Jayawardana, P.J. Morrison, T. Ohsawa,
Clebsch Canonization of Lie–Poisson Systems,
Journal of Geometric Mechanics, 14(4), 635–658, 2022.
[pdf]
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C. Contreras and T. Ohsawa,
Controlled Lagrangians and Stabilization of Euler–Poincaré Mechanical Systems with Broken Symmetry II: Potential Shaping,
Mathematics of Control, Signals, and Systems, 34, 329–359, 2022.
[pdf]
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T. Ohsawa,
Approximation of Semiclassical Expectation Values by Symplectic Gaussian Wave Packet Dynamics,
Letters in Mathematical Physics, 111, Article number: 121 (26 pages), 2021.
[pdf]
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N. King and T. Ohsawa,
Hamiltonian Dynamics of Semiclassical Gaussian Wave Packets in Electromagnetic Potentials,
Journal of Physics A: Mathematical and Theoretical, 53, 105201 (17 pages), 2020.
[pdf]
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T. Ohsawa,
Geometric Kinematic Control of a Spherical Rolling Robot,
Journal of Nonlinear Science, 30(1), 67–91, 2020.
[pdf]
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T. Ohsawa,
Collective Heavy Top Dynamics,
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 15, 083 (17 pages), 2019.
[pdf]
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T. Ohsawa,
Symplectic Reduction and the Lie–Poisson Shape Dynamics of N Point Vortices on the Plane,
Nonlinearity, 32, 10, 3820–3842, 2019.
[pdf],
[talk slides]
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T. Ohsawa,
The Symmetric Representation of the Generalized Rigid Body Equations and Symplectic Reduction,
Journal of Physics A: Mathematical and Theoretical, 52, 36LT01 (10 pages), 2019.
[pdf]
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T. Ohsawa,
Dual Pairs and Regularization of Kummer Shapes in Resonances,
Journal of Geometric Mechanics, 11, 2, 225–238, 2019.
[pdf]
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T. Ohsawa,
The Hagedorn–Hermite Correspondence,
Journal of Fourier Analysis and Applications, 25, 5, 1513–1552, 2019.
[pdf]
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T. Ohsawa,
Symplectic Semiclassical Wave Packet Dynamics II: Non-Gaussian States,
Nonlinearity, 31, 5, 1807–1832, 2018.
[pdf]
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A. Bloch, L. Colombo, R. Gupta, and T. Ohsawa,
Optimal Control Problems with Symmetry Breaking Cost Functions,
SIAM Journal on Applied Algebra and Geometry, 1(1), 626–646, 2017.
[pdf]
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T. Ohsawa and C. Tronci,
Geometry and Dynamics of Gaussian Wave Packets and their Wigner Transforms,
Journal of Mathematical Physics, 58(9), 092105, 2017.
[pdf]
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J. Keller, C. Lasser, and T. Ohsawa,
A New Phase Space Density for Quantum Expectations,
SIAM Journal on Mathematical Analysis, 48(1), 513–537, 2016.
[pdf]
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T. Ohsawa,
The Siegel Upper Half Space is a Marsden–Weinstein Quotient: Symplectic Reduction and Gaussian Wave Packets,
Letters in Mathematical Physics, 105(9): 1301–1320, 2015.
[pdf]
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T. Ohsawa,
Symmetry and Conservation Laws in Semiclassical Wave Packet Dynamics,
Journal of Mathematical Physics, 56: 032103, 2015.
[pdf]
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T. Ohsawa,
Contact Geometry of the Pontryagin Maximum Principle,
Automatica, 55: 1–5, 2015.
[pdf]
- T. Ohsawa and M. Leok,
Symplectic Semiclassical Wave Packet Dynamics,
Journal of Physics A: Mathematical and Theoretical, 46: 405201, 2013.
[pdf]
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T. Ohsawa,
Symmetry Reduction of Optimal Control Systems and Principal Connections,
SIAM Journal on Control and Optimization, 51(1): 96–120, 2013.
[pdf]
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M. Leok, T. Ohsawa, and D. Sosa,
Hamilton–Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints,
Journal of Mathematical Physics, 53: 072905, 2012.
[pdf]
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M. Leok and T. Ohsawa,
Variational and Geometric Structures of Discrete Dirac Mechanics,
Foundations of Computational Mathematics, 11(5): 529–562, 2011.
[pdf]
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T. Ohsawa, A. M. Bloch, and M. Leok,
Discrete Hamilton–Jacobi Theory,
SIAM Journal on Control and Optimization, 49(4): 1829–1856, 2011.
[pdf]
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T. Ohsawa, O. E. Fernandez, A. M. Bloch, and D. V. Zenkov,
Nonholonomic Hamilton–Jacobi Theory via Chaplygin Hamiltonization,
Journal of Geometry and Physics, 61(8): 1263–1291, 2011.
[pdf]
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T. Ohsawa and A. M. Bloch,
Nonholonomic Hamilton–Jacobi Equation and Integrability,
Journal of Geometric Mechanics, 1(4): 461–481, 2009.
[pdf]
Refereed Conference Proceedings
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J.S. Garcia and T. Ohsawa,
Stabilization of Nonholonomic Pendulum Skate by Controlled Lagrangians,
2022 IEEE 61st Conference on Decision and Control (CDC), 2022.
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T. Ohsawa,
Relative Dynamics and Stability of Point Vortices on the Sphere,
IEICE Proceedings Series, 71, Pages 236–239, 2022.
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C. Contreras and T. Ohsawa,
Stabilization of Mechanical Systems on Semidirect Product Lie Groups with Broken Symmetry via Controlled Lagrangians,
IFAC-PapersOnLine, Volume 54, Issue 19, Pages 106–112, 2021.
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M. Tao and T. Ohsawa,
Variational Optimization on Lie Groups, with Examples of Leading (Generalized) Eigenvalue Problems,
Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics, PMLR 108:4269–4280, 2020.
[pdf]
Recipient of Notable Papers Award.
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T. Ohsawa,
Poisson Reduction of Optimal Control Systems,
The 50th IEEE Conference on Decision and Control and European Control Conference, pp. 6230–6235, 2011.
[pdf]
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M. Leok and T. Ohsawa,
Discrete Dirac Structures and Implicit Discrete Lagrangian and Hamiltonian Systems,
In XVIII International Fall Workshop on Geometry and Physics, pp. 91–102, 1260, AIP, 07 2010.
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T. Ohsawa, A. M. Bloch, and M. Leok,
Discrete Hamilton–Jacobi theory and discrete optimal control,
The 49th IEEE Conference on Decision and Control (CDC), 2010, pp. 5438–5443, 2010.
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T. Ohsawa and T. Ohwada,
Deterministic Hybrid Computation of Rarefied Gas Flows,
Rarefied Gas Dynamics: 23rd International Symposium (AIP Conference Proceedings 663), pp. 931–938, 2003.
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T. Hokazono, S. Kobayashi, T. Ohsawa, and T. Ohwada,
On the Time Step Error of the DSMC,
Rarefied Gas Dynamics: 23rd International Symposium (AIP Conference Proceedings 663), pp. 390–397, 2003.
