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1. Dullin HR, Marangell R
Holger R Dullin, Robert Marangell: An Evans function for the linearised 2D Euler equations using Hill’s determinant, Physica D, 457 (2024), no. January 2024, Article number 133954 (14 pages).


2. Burton LG, Dullin HR, Altmann EG
Lachlan G Burton, Holger R Dullin, Eduardo G Altmann: Probabilistic description of dissipative chaotic scattering, Physical Review E, 108 (2023), no. 5, Article 054223.


3. Rafat MZ, Dullin HR, Kuhlmey BT, Tuniz A, Luo H, Roy D, Skinner S, Alexander TJ, Wheatland MS, de Sterke CM
M Z Rafat, Holger R Dullin, Boris T Kuhlmey, Alessandro Tuniz, Haoyuan Luo, Dibyendu Roy, Sean Skinner, Tristram J Alexander, Michael S Wheatland and C Martijn de Sterke: Self-Stabilization of Light Sails by Damped Internal Degrees of Freedom, Physical Review Applied, 17 (2022), no. 2, Article 024016.


4. Dawson SR, Dullin HR, Nguyen DMH
Sean R Dawson, Holger R Dullin and Diana M H Nguyen: The Harmonic Lagrange Top and the Confluent Heun Equation, Regular and chaotic dynamics, 27 (2022), no. 4, 443–459.


5. Dawson S, Dullin HR, Nguyen DMH
Sean Dawson, Holger R Dullin and Diana M H Nguyen: Monodromy in prolate spheroidal harmonics, Studies in Applied Mathematics, 146 (2021), 953–982.


6. Duignan N, Dullin HR
Nathan Duignan and Holger R Dullin: On the C 8/3-regularisation of simultaneous binary collisions in the planar four-body problem, Nonlinearity, 34 (2021), no. 7, 4944–4982.


7. Duignan N, Dullin HR
Nathan Duignan and Holger R Dullin: On the \(C^{8/3}\)-regularisation of simultaneous binary collisions in the planar four-body problem, Nonlinearity, 34 (2021), no. 7, 4944–4982.


8. Albouy A, Dullin HR
Alain Albouy and Holger R Dullin: Relative equilibria of the 3-body problem in \(\mathbb{R}^4\), Journal of Geometric Mechanics, 12 (2020), no. 3, 323–341.


9. Dullin HR, Scheurle J
Holger R Dullin and Jürgen Scheurle: Symmetry reduction of the 3-body problem in \(\mathbb{R}^4\), Journal of Geometric Mechanics, 12 (2020), no. 3, 377–394.


10. Dullin HR, Latushkin Y, Marangell R, Vasudevan S, Worthington J
Holger Dullin, Yuri Latushkin, Robert Marangell, Shibi Vasudevan, Joachim Worthington: Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations, Communications on Pure and Applied Analysis, 19 (2020), no. 4, 2051–2079.


11. Duignan N, Dullin HR
Nathan Duignan and Holger R Dullin: Regularisation for Planar vector fields, Nonlinearity, 33 (2020), no. 1, 106–138.


12. Alonso J, Dullin HR, Hohloch S
Jaume Alonso, Holger R Dullin and Sonja Hohloch: Symplectic classification of coupled angular momenta, Nonlinearity, 33 (2020), no. 1, 417–468.


13. Dullin HR, Worthington J
Holger Dullin and Joachim Worthington: Stability theory of the 3-dimensional Euler equations, SIAM Journal on Applied Mathematics, 79 (2019), no. 5, 2168–2191. MR4025780


14. Dullin HR, Meiss JD, Worthington J
H R Dullin, J D Meiss and J Worthington: Poisson structure of the three-dimensional Euler equations in Fourier space, Journal of Physics A: Mathematical and Theoretical, 52 (2019), Article 365501 (15pp).


15. Martynchuk N, Dullin HR, Efstathiou K, Waalkens H
N Martynchuk, H R Dullin, K Efstathiou and H Waalkens: Scattering invariants in Euler's two-center problem, Nonlinearity, 32 (2019), no. 4, 1296–1326. MR3923169


16. Tong W, Dullin HR
William Tong and Holger R Dullin: Using the geometric phase to optimize planar somersaults, IMA Journal of Applied Mathematics, 84 (2019), no. 1, 44–62. MR3904246


17. Chiscop I, Dullin HR, Efstathiou K, Waalkens H
Irina Chiscop, Holger R Dullin, Konstantinos Efstathiou and Holger Waalkens: A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy, Journal of Mathematical Physics, 60 (2019), Art. 032103. MR3927837


18. Alonso J, Dullin HR, Hohloch S
Jaume Alonso, Holger R Dullin and Sonja Hohloch: Taylor series and twisting-index invariants of coupled spin–oscillators, Journal of Geometry and Physics, 140 (2019), no. June 2019, 131–151.


19. Dullin HR, Worthington J
Holger R Dullin, Joachim Worthington: Stability Results for Idealized Shear Flows on a Rectangular Periodic Domain, Journal of Mathematical Fluid Mechanics, 20 (2018), no. 2, 473–484.


20. Dullin HR, Waalkens H
Holger R Dullin and Holger Waalkens: Defect in the Joint Spectrum of Hydrogen due to Monodromy, Physical Review Letters, 120 (2018), no. 2, 5 pages – 020507.


21. Dullin HR, Worthington J
Holger R Dullin and Joachim Worthington: Stability Results for Idealised Shear Flows on a Rectangular Periodic Domain, J. Math. Fluid Mech., 19 (2017), 1–12.


22. Tong W, Dullin HR
Wiliam Tong and Holger R. Dullin: A new twisting somersault - 513XD, Journal of Nonlinear Science, 27 (2017), 1–25.


23. Dullin HR
Holger R Dullin: A New Twisting Somersault, SIAM News, 50 (2017), no. 2, 12.


24. Dullin HR, Tong W
Holger R Dullin and William Tong: Twisting Somersault, SIAM Journal on Applied Dynamical Systems (SIADS), 15 (2016), no. 4, 1806–1822. MR3553919


25. Bharadwaj S, Duignan N, Dullin HR, Leung K, Tong W
Sudarsh Bharadwaj, Nathan Duignan, Holger R Dullin, Karen Leung, and William Tong: The diver with a rotor, Indagationes Mathematicae, 27 (2016), no. 5, 1147–1161. MR3573753


26. Dullin HR, Marangell R, Worthington J
Holger R Dullin, Robert Marangell and Joachim Worthington: Instability of equilibria for the two-dimensional euler equations on the torus, SIAM Journal on Applied Mathematics, 76 (2016), no. 4, 1446–1470. MR3529742


27. Dullin HR, Montgomery R
Holger R Dullin and Richard Montgomery: Syzygies in the two center problem, Nonlinearity, 29 (2016), no. 4, 1212–1237. MR3476506


28. Dullin HR, Pelayo Á
Holger R Dullin, Álvaro Pelayo: Generating Hyperbolic Singularities in Semitoric Systems Via Hopf Bifurcations, Journal of Nonlinear Science, 26 (2016), no. 3, 787–811. MR3490533


29. Arunasalam S, Dullin HR, Nguyen DMH
Suntharan Arunasalam, Holger R Dullin and Diana M H Nguyen: The Lie--Poisson structure of the symmetry reduced regularized \(n\)-body problem, Journal of Physics A: Mathematical and Theoretical, 48 (2015), 065202 (12 pages).


30. Dullin HR, Worthington J
H R Dullin and J Worthington: The vanishing twist in the restricted three-body problem, Physica D: Nonlinear Phenomena, 276 (2014), 12–20.


31. Dullin HR, Tong W
Holger R Dullin and William Tong: Geometric phase in diving, Proceedings of 1st Symposium for Researchers in Diving, Diving Research Worldwide : 1st Symposium for Researchers in Diving, In T Kothe and O Stoll (eds.), Diving research worldwide, Verlag, Hamburg, (2013), 24–29. ISBN 9783880206038.


32. Rose D, Dullin HR
Danya Rose and Holger R Dullin: A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum, Celestial Mechanics and Dynamical Astronomy, 117 (2013), no. 2, 169–185.


33. Papadopoulos G, Dullin HR
George Papadopoulos and Holger R Dullin: Semi-global symplectic invariants of the euler top, Journal of Geometric Mechanics, 5 (2013), no. 2, 215–232.


34. Dullin HR
Holger R Dullin: The Lie--Poisson structure of the reduced \(n\)-body problem, Nonlinearity, 26 (2013), no. 6, 1565–1579.


35. Dullin HR
Holger R Dullin: Semi-global symplectic invariants of the spherical pendulum, Journal of Differential Equations, 254 (2013), no. 7, 2942–2963.


36. Tong W, Dullin HR
William Tong and Holger R Dullin: The Equilateral Pentagon at Zero Angular Momentum: Maximal Rotation through Optimal Deformation, SIAM Journal of Applied Dynamical Systems, 11 (2012), no. 3, 963–987. MR3022056


37. Dullin HR, Hanßman H
Holger R Dullin and Heinz Hanßman: The degenerate C. Neumann system I: symmetry reduction and convexity, Central European Journal of Mathematics, 10 (2012), no. 5, 1627–1654.


38. Dullin HR, Meiss JD
H. R. Dullin and J. D. Meiss: Resonances and Twist in Volume-Preserving Mappings, SIAM Journal of Applied Dynamical Systems, 11 (2012), no. 1, 319–349. MR2902619


39. Dullin HR, Lomeli HE, Meiss JD
H R Dullin, H E Lomeli, and J D Meiss: Symmetry reduction by lifting for maps, Nonlinearity, 25 (2012), no. 6, 1709–1733. MR2929599


40. Schmidt S, Dullin HR
Sven Schmidt, Holger R Dullin: Dynamics near the \(p\colon\text{-}q\) resonance, Physica D, 239 (2010), 1884–1891.


41. Fitch NJ, Weidner CA, Parazzoli LP, Dullin HR, Lewandowski. HJ
N. J. Fitch, C. A. Weidner, L. P. Parazzoli, H. R. Dullin, and H. J. Lewandowski.: Experimental Demonstration of Classical Hamiltonian Monodromy in the 1:1:2 Resonant Elastic Pendulum, Physical Review Letters, 103 (2009), 034301.


42. Dullin HR, Waalkens H
H. R. Dullin, and H. Waalkens: Dullin and Waalkens Reply to Comment on ``Non-uniqueness of the phase shift in central scattering due to monodromy'', Physical Review Letters, 102 (2009), 188902.


43. Schmidt S, Dullin HR, Richter PH
Sven Schmidt, Holger R. Dullin, and Peter H. Richter: A Poincaré Section for the General Heavy Rigid Body, SIAM Journal on Applied Dynamical Systems, 8 (2009), no. 1, 371–389. MR2481288


44. Dullin HR, Meiss JD
H R Dullin and J D Meiss: Quadratic volume-preserving maps: invariant circles and bifurcations, SIAM Journal of Dynamical Systems, 8 (2009), no. 1, 76–128. MR2481277


45. Dullin HR, Meiss JD
H. R. Dullin, J. D. Meiss: Nilpotent normal form for divergence-free vector fields and volume-preserving maps, Physica D, 237 (2007), 156–166. MR2434100


46. Fitch NJ, Weidner CA, Parazzoli LP, Dullin HR, Lewandowski HJ
N. J. Fitch, C. A. Weidner, L. P. Parazzoli, H. R. Dullin, and H. J. Lewandowski.: Experimental Demonstration of Classical Hamiltonian Monodromy in the 1:1:2 Resonant Elastic Pendulum, Physical Review Letters, 103 (2008), 034301.


47. Dullin HR, Waalkens H
H. R. Dullin and H. Waalkens: Non-uniqueness of phase shift in central scattering due to monodromy, Physical Review Letters, 101 (2008), 070405.


48. Dullin HR, Tsygvintsev A
H. R. Dullin and A. Tsygvintsev: On the analytic non-integrability of the rattleback problem, Ann. Fac. Sci. Toulouse Math., 17 (2008), no. 3, 57–79.


49. Dullin HR, Schmidt S, Richter PH, Großmann S
H. R. Dullin, S. Schmidt, P. H. Richter, and S. Großmann: Extended Phase Diagram of the Lorenz Model, Int. J. Bif. Chaos, 17 (2007), 3013–3033.


50. Davison CM, Dullin HR, Bolsinov AV
C.M. Davison, H.R. Dullin, A.V. Bolsinov: Geodesics on the Ellipsoid and Monodromy, J. Geom. Phys., 57 (2007), 2437–2454.


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