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ResearcherID: B-2808-2008
Scopus Author ID: 7004325155

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University of Sydney: Sydney, NSW, AU

2008-03-01 to present | Professor (School of Mathematics and Statistics)
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Holger Dullin

Works (50 of 95)

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Bounded orbits for three bodies in ℝ4

Geometric Mechanics
2024-03 | Journal article
DOI: 10.1142/S2972458924500035
Contributors: Alain Albouy; Holger R. Dullin
Source: check_circle
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Self-Stabilization of Light Sails by Damped Internal Degrees of Freedom

Physical Review Applied
2022-02-07 | Journal article
DOI: 10.1103/PhysRevApplied.17.024016
Contributors: M. Z. Rafat; Holger R. Dullin; Boris T. Kuhlmey; Alessandro Tuniz; Haoyuan Luo; Dibyendu Roy; Sean Skinner; Tristram J. Alexander; Michael S. Wheatland; C. Martijn de Sterke
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On the C 8/3-regularisation of simultaneous binary collisions in the planar four-body problem

Nonlinearity
2021-07-01 | Journal article
DOI: 10.1088/1361-6544/ac0127
Contributors: Nathan Duignan; Holger R Dullin
Source: check_circle
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Monodromy in prolate spheroidal harmonics

Studies in Applied Mathematics
2021-05 | Journal article
DOI: 10.1111/sapm.12371
Contributors: Sean R. Dawson; Holger R. Dullin; Diana M. H. Nguyen
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On the C8/3-regularisation of simultaneous binary collisions in the collinear 4-body problem

Journal of Differential Equations
2020-11 | Journal article
DOI: 10.1016/j.jde.2020.05.045
Part of ISSN: 0022-0396
Contributors: Nathan Duignan; Holger R. Dullin
Source: Self-asserted source
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Regularisation for Planar vector fields

Nonlinearity
2020-01-01 | Journal article
DOI: 10.1088/1361-6544/ab34d9
Contributors: Nathan Duignan; Holger R Dullin
Source: check_circle
Crossref

Symplectic classification of coupled angular momenta

Nonlinearity
2020-01-01 | Journal article
DOI: 10.1088/1361-6544/ab4e05
Contributors: Jaume Alonso; Holger R Dullin; Sonja Hohloch
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Poisson structure of the three-dimensional Euler equations in Fourier space

Journal of Physics A: Mathematical and Theoretical
2019-09-06 | Journal article
DOI: 10.1088/1751-8121/ab3363
Contributors: H R Dullin; J D Meiss; J Worthington
Source: check_circle
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Stability Theory of the 3-Dimensional Euler Equations

SIAM Journal on Applied Mathematics
2019-08 | Journal article
DOI: 10.1137/19m1252260
Part of ISSN: 0036-1399
Part of ISSN: 1095-712X
Source: Self-asserted source
Holger Dullin

Taylor series and twisting-index invariants of coupled spin–oscillators

Journal of Geometry and Physics
2019-06 | Journal article
DOI: 10.1016/j.geomphys.2018.09.022
Contributors: Jaume Alonso; Holger R. Dullin; Sonja Hohloch
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Scattering invariants in Euler’s two-center problem

Nonlinearity
2019-04-01 | Journal article
DOI: 10.1088/1361-6544/aaf542
Contributors: N Martynchuk; H R Dullin; K Efstathiou; H Waalkens
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A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy

Journal of Mathematical Physics
2019-03 | Journal article
DOI: 10.1063/1.5053887
Contributors: Irina Chiscop; Holger R. Dullin; Konstantinos Efstathiou; Holger Waalkens
Source: check_circle
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Stability Results for Idealized Shear Flows on a Rectangular Periodic Domain

Journal of Mathematical Fluid Mechanics
2018 | Journal article
DOI: 10.1007/s00021-017-0329-2
EID:

2-s2.0-85048121503
Contributors: Dullin, H.R.; Worthington, J.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier

Using the geometric phase to optimize planar somersaults

IMA Journal of Applied Mathematics
2018-10-05 | Journal article
DOI: 10.1093/imamat/hxy050
Part of ISSN: 0272-4960
Contributors: William Tong; Holger R Dullin
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A New Twisting Somersault

Science Trends
2018-01 | Journal article
DOI: 10.31988/scitrends.9340
Contributors: William Tong; Holger R. Dullin
Source: Self-asserted source
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Defect in the Joint Spectrum of Hydrogen due to Monodromy

Physical Review Letters
2018-01 | Journal article
DOI: 10.1103/physrevlett.120.020507
Part of ISSN: 0031-9007
Contributors: Holger R. Dullin; Holger Waalkens
Source: Self-asserted source
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A New Twisting Somersault: 513XD

Journal of Nonlinear Science
2017-12-08 | Journal article
DOI: 10.1007/s00332-017-9403-4
Contributors: William Tong; Holger R. Dullin
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Generating hyperbolic singularities in semitoric systems via hopf bifurcations

Journal of Nonlinear Science
2016 | Journal article
DOI: 10.1007/s00332-016-9290-0
EID:

2-s2.0-84959340010
Contributors: Dullin, H.R.; Pelayo, Á.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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Instability of equilibria for the two-dimensional euler equations on the torus

SIAM Journal on Applied Mathematics
2016 | Journal article
DOI: 10.1137/15M1043054
EID:

2-s2.0-84985021385
Contributors: Dullin, H.R.; Marangell, R.; Worthington, J.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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Syzygies in the two center problem

Nonlinearity
2016 | Journal article
DOI: 10.1088/0951-7715/29/4/1212
WOSUID:

WOS:000373161800002
Contributors: Dullin, Holger R.; Montgomery, Richard
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The diver with a rotor

Indagationes Mathematicae
2016 | Journal article
DOI: 10.1016/j.indag.2016.04.003
EID:

2-s2.0-84975482238
Contributors: Bharadwaj, S.; Duignan, N.; Dullin, H.R.; Leung, K.; Tong, W.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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Twisting somersault

SIAM Journal on Applied Dynamical Systems
2016 | Journal article
DOI: 10.1137/15M1055097
EID:

2-s2.0-85007009637
Contributors: Dullin, H.R.; Tong, W.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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The Lie–Poisson structure of the symmetry reduced regularized n -body problem

J. Phys. A: Math. Theor.
2015-01 | Journal article
DOI: 10.1088/1751-8113/48/6/065202
Contributors: Suntharan Arunasalam; Holger R Dullin; Diana M H Nguyen
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The vanishing twist in the restricted three-body problem

Physica D: Nonlinear Phenomena
2014-05 | Journal article
DOI: 10.1016/j.physd.2014.03.001
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Semi-global symplectic invariants of the Euler top

JGM
2013-07 | Journal article
DOI: 10.3934/jgm.2013.5.215
Contributors: George Papadopoulos; Holger R. Dullin
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A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum

Celest Mech Dyn Astr
2013-07-10 | Journal article
DOI: 10.1007/s10569-013-9503-x
Contributors: Danya Rose; Holger R. Dullin
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Semi-global symplectic invariants of the spherical pendulum

Journal of Differential Equations
2013-04 | Journal article
DOI: 10.1016/j.jde.2013.01.018
Contributors: Holger R. Dullin
Source: Self-asserted source
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The Lie–Poisson structure of the reduced n -body problem

Nonlinearity
2013-04 | Journal article
DOI: 10.1088/0951-7715/26/6/1565
Contributors: Holger R Dullin
Source: Self-asserted source
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The Equilateral Pentagon at Zero Angular Momentum: Maximal Rotation through Optimal Deformation

SIAM J. Appl. Dyn. Syst.
2012-09-05 | Journal article
DOI: 10.1137/110853868
Contributors: William Tong; Holger R. Dullin
Source: Self-asserted source
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The degenerate C. Neumann system I: symmetry reduction and convexity

centr.eur.j.math.
2012-06 | Journal article
DOI: 10.2478/s11533-012-0085-8
Contributors: Holger R. Dullin; Heinz Hanßmann
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Symmetry reduction by lifting for maps

Nonlinearity
2012-05-11 | Journal article
DOI: 10.1088/0951-7715/25/6/1709
Contributors: H R Dullin; H E Lomelí; J D Meiss
Source: Self-asserted source
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Resonances and Twist in Volume-Preserving Mappings

SIAM J. Appl. Dyn. Syst.
2012-01 | Journal article
DOI: 10.1137/110846865
Contributors: H. R. Dullin; J. D. Meiss
Source: Self-asserted source
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Dynamics near the p: -q resonance

Physica D: Nonlinear Phenomena
2010 | Journal article
DOI: 10.1016/j.physd.2010.06.012
EID:

2-s2.0-78049434108
Contributors: Schmidt, S.; Dullin, H.R.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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A poincaré section for the general heavy rigid body

SIAM Journal on Applied Dynamical Systems
2009 | Journal article
DOI: 10.1137/080719029
EID:

2-s2.0-63049132688
Contributors: Schmidt, S.; Dullin, H.R.; Richter, P.H.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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Quadratic volume-preserving maps: Invariant circles and bifurcations

SIAM Journal on Applied Dynamical Systems
2009 | Journal article
DOI: 10.1137/080728160
EID:

2-s2.0-63049114764
Contributors: Dullin, H.R.; Meiss, J.D.
Source: Self-asserted source
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Experimental Demonstration of Classical Hamiltonian Monodromy in the1∶1∶2Resonant Elastic Pendulum

Physical Review Letters
2009-07 | Journal article
DOI: 10.1103/physrevlett.103.034301
Part of ISSN: 0031-9007
Contributors: N. J. Fitch; C. A. Weidner; L. P. Parazzoli; H. R. Dullin; H. J. Lewandowski
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Dullin and Waalkens Reply:

Phys. Rev. Lett.
2009-05-07 | Journal article
DOI: 10.1103/physrevlett.102.188902
Contributors: Holger R. Dullin; Holger Waalkens
Source: Self-asserted source
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Nilpotent normal form for divergence-free vector fields and volume-preserving maps

Physica D: Nonlinear Phenomena
2008 | Journal article
DOI: 10.1016/j.physd.2007.08.014
EID:

2-s2.0-38549110712
Contributors: Dullin, H.R.; Meiss, J.D.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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On the analytic non-integrability of the Rattleback problem

Ann. Fac. Sci. Toulouse Math
2008 | Journal article
DOI: 10.5802/afst.1191
Contributors: H. R. Dullin; A.V. Tsygvintsev
Source: Self-asserted source
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Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy

Phys. Rev. Lett.
2008-08 | Journal article
DOI: 10.1103/physrevlett.101.070405
Contributors: Holger R. Dullin; Holger Waalkens
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Geodesics on the ellipsoid and monodromy

Journal of Geometry and Physics
2007 | Journal article
DOI: 10.1016/j.geomphys.2007.07.006
EID:

2-s2.0-35748954615
Contributors: Davison, C.M.; Dullin, H.R.; Bolsinov, A.V.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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Symplectic invariants near hyperbolic-hyperbolic points

Regul. Chaot. Dyn.
2007 | Journal article
DOI: 10.1134/s1560354707060111
Contributors: H. R. Dullin; S. Vũ Ngọc
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The 1:±2 resonance

Regul. Chaot. Dyn.
2007 | Journal article
DOI: 10.1134/s156035470706007x
Contributors: R. H. Cushman; H. R. Dullin; H. Hanßmann; S. Schmidt
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EXTENDED PHASE DIAGRAM OF THE LORENZ MODEL

Int. J. Bifurcation Chaos
2007-09 | Journal article
DOI: 10.1142/s021812740701883x
Contributors: H. R. DULLIN; S. SCHMIDT; P. H. RICHTER; S. K. GROSSMANN
Source: Self-asserted source
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Geodesic flow on three-dimensional ellipsoids with equal semi-axes

Regul. Chaot. Dyn.
2007-04 | Journal article
DOI: 10.1134/s1560354707020050
Contributors: C. M. Davison; H. R. Dullin
Source: Self-asserted source
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Normal forms for 4D symplectic maps with twist singularities

Physica D: Nonlinear Phenomena
2006 | Journal article
DOI: 10.1016/j.physd.2006.01.019
EID:

2-s2.0-33645801417
Contributors: Dullin, H.R.; Ivanov, A.V.; Meiss, J.D.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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Spectra of Sol-manifolds: Arithmetic and quantum monodromy

Communications in Mathematical Physics
2006 | Journal article
DOI: 10.1007/s00220-006-1543-6
EID:

2-s2.0-33646528916
Contributors: Bolsinov, A.V.; Dullin, H.R.; Veselov, A.P.
Source: Self-asserted source
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Another look at the saddle-centre bifurcation: Vanishing twist

Physica D: Nonlinear Phenomena
2005 | Journal article
DOI: 10.1016/j.physd.2005.07.019
EID:

2-s2.0-27144459862
Contributors: Dullin, H.R.; Ivanov, A.V.
Source: Self-asserted source
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Symbolic codes for rotational orbits

SIAM Journal on Applied Dynamical Systems
2005 | Journal article
DOI: 10.1137/040612877
EID:

2-s2.0-33644892552
Contributors: Dullin, H.R.; Meiss, J.D.; Sterling, D.G.
Source: Self-asserted source
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Vanishing twist in the Hamiltonian Hopf bifurcation

Physica D: Nonlinear Phenomena
2005 | Journal article
DOI: 10.1016/j.physd.2004.12.004
EID:

2-s2.0-13244277750
Contributors: Dullin, H.R.; Ivanov, A.V.
Source: Self-asserted source
Holger Dullin via Scopus - Elsevier
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Peer review (9 reviews for 7 publications/grants)

Review activity for Chaos. (2)
Review activity for Journal of geometry and physics. (1)
Review activity for Journal of nonlinear science. (2)
Review activity for Nonlinear dynamics. (1)
Review activity for Physica. (1)
Review activity for Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. (1)
Review activity for SIAM journal on applied dynamical systems. (1)
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