| Linearizability of flows by embeddings MD Kvalheim, P Arathoon arXiv preprint arXiv:2305.18288, 2023 | 18 | 2023 |
| Koopman embedding and super-linearization counterexamples with isolated equilibria P Arathoon, MD Kvalheim arXiv preprint arXiv:2306.15126, 2023 | 10 | 2023 |
| Real forms of holomorphic Hamiltonian systems P Arathoon, M Fontaine arXiv preprint arXiv:2009.10417, 2020 | 8* | 2020 |
| Singular reduction of the 2-body problem on the 3-sphere and the 4-dimensional spinning top P Arathoon Regular and Chaotic Dynamics 24 (4), 370-391, 2019 | 7 | 2019 |
| Coadjoint orbits of the special Euclidean group P Arathoon PQDT-Global, 2016 | 5 | 2016 |
| A bijection between the adjoint and coadjoint orbits of a semidirect product P Arathoon Differential Geometry and its Applications 62, 267-282, 2019 | 4 | 2019 |
| Hermitian flag manifolds and orbits of the Euclidean group P Arathoon, J Montaldi arXiv preprint arXiv:1804.09463, 2018 | 4 | 2018 |
| Unifying the Hyperbolic and Spherical-Body Problem with Biquaternions P Arathoon Regular and Chaotic Dynamics 28 (6), 822-834, 2023 | 3 | 2023 |
| Integrable sub-Riemannian geodesic flows on the special orthogonal group A Bravo-Doddoli, P Arathoon, AM Bloch Nonlinearity 38 (11), 115007, 2025 | 2 | 2025 |
| Semidirect Products and Applications to Geometric Mechanics P Arathoon PQDT-UK & Ireland, 2020 | 2 | 2020 |
| Linearizability of dynamical systems by embeddings MD Kvalheim, P Arathoon 2024 Joint Mathematics Meetings (JMM 2024), 2024 | 1 | 2024 |
| Relative equilibria of mechanical systems with rotational symmetry P Arathoon Nonlinearity 37 (9), 095001, 2024 | | 2024 |
| Adjoint and coadjoint orbits of the Euclidean group P Arathoon, J Montaldi Manchester Institute for Mathematical Sciences, University of Manchester, 2015 | | 2015 |
