People_
Dr Nathan Duignan
Academic Fellow in the School of Mathematics and Statistics
Address
F07 - Carslaw Building
The University of Sydney
Timetable
| Project title | Research student |
|---|---|
| Poisson Algebras in Superintegrable Natural Hamiltonian Systems | Gleb PALSHIN |
Publications
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Journals
- Cardona, R., Duignan, N., Perrella, D. (2025). Asymmetry of MHD Equilibria for Generic Adapted Metrics. Archive for Rational Mechanics and Analysis, 249(1), 1-39. [More Information]
- Duignan, N., Sato, N. (2025). Relating Hamiltonian systems with multiple invariants to generalized Hamiltonian mechanics via multisymplectic geometry. Journal of Geometry and Physics, 211, Article 105438 - 1-Article 105438 - 18. [More Information]
- Duignan, N., Weiss, J. (2023). Distinguishing between regular and chaotic orbits of flows by the weighted Birkhoff average. Physica D: Nonlinear Phenomena, 449(Open Access), Article 133749 - 1-Article 133749 - 16. [More Information]
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2025
- Cardona, R., Duignan, N., Perrella, D. (2025). Asymmetry of MHD Equilibria for Generic Adapted Metrics. Archive for Rational Mechanics and Analysis, 249(1), 1-39. [More Information]
- Duignan, N., Sato, N. (2025). Relating Hamiltonian systems with multiple invariants to generalized Hamiltonian mechanics via multisymplectic geometry. Journal of Geometry and Physics, 211, Article 105438 - 1-Article 105438 - 18. [More Information]
2023
- Duignan, N., Weiss, J. (2023). Distinguishing between regular and chaotic orbits of flows by the weighted Birkhoff average. Physica D: Nonlinear Phenomena, 449(Open Access), Article 133749 - 1-Article 133749 - 16. [More Information]
- Perrella, D., Duignan, N., Pfefferie, D. (2023). Existence of global symmetries of divergence-free fields with first integrals. Journal of Mathematical Physics, 64(5), Article no. 052705-31 pages. [More Information]
- Burby, J., Duignan, N., Meiss, J. (2023). Minimizing separatrix crossings through isoprominence. Plasma Physics and Controlled Fusion, 65(4), Article no. 045004 - 1-Article no. 045004 - 14. [More Information]
2021
- Burby, J., Duignan, N., Meiss, J. (2021). Integrability, normal forms, and magnetic axis coordinates. Journal of Mathematical Physics, 62(12), 1-25. [More Information]
- Duignan, N., Meiss, J. (2021). Nonexistence of invariant tori transverse to foliations: An application of converse KAM theory. Chaos, 31(1), 1-19. [More Information]
- Duignan, N., Meiss, J. (2021). Normal forms and near-axis expansions for Beltrami magnetic fields. Physics of Plasmas, 28(12), 1-19. [More Information]
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2020
- Duignan, N., Moeckel, R., Montgomery, R., Yu, G. (2020). Chazy-Type Asymptotics and Hyperbolic Scattering for the n-Body Problem. Archive for Rational Mechanics and Analysis, 238(1), 255-297. [More Information]
- Duignan, N., Dullin, H. (2020). On the C^8/3-regularisation of simultaneous binary collisions in the collinear 4-body problem. Journal of Differential Equations, 269(10), 7975-8006. [More Information]
- Duignan, N., Dullin, H. (2020). Regularisation for Planar vector fields. Nonlinearity, 33(1), 106-138. [More Information]
2016
- Bharadwaj, S., Duignan, N., Dullin, H., Leung, K., Tong, W. (2016). The diver with a rotor. Indagationes Mathematicae, 27(5), 1147-1161. [More Information]