Dullin, Holger R The Lagrange top and the fifth Painlevé equation. arXiv:2310.05533 Preprint, arXiv:2310.05533 [nlin.SI] (2023). MSC: 70H06 33E17 34M55 34M03 BibTeX Cite \textit{H. R Dullin}, ``The Lagrange top and the fifth Painlev\'e equation'', Preprint, arXiv:2310.05533 [nlin.SI] (2023) Full Text: arXiv OA License
Albouy, Alain; Dullin, Holger R. Bounded orbits for 3 bodies in \(\mathbb{R}^4\). arXiv:2309.14579 Preprint, arXiv:2309.14579 [math.DS] (2023). MSC: 37N05 70F10 70F15 70H33 53D20 BibTeX Cite \textit{A. Albouy} and \textit{H. R. Dullin}, ``Bounded orbits for 3 bodies in $\mathbb{R}^4$'', Preprint, arXiv:2309.14579 [math.DS] (2023) Full Text: arXiv OA License
Dullin, Holger R.; Scheurle, Jürgen Symmetry reduction of the 3-body problem in \(\mathbb{R}^4\). (English) Zbl 1477.37093 J. Geom. Mech. 12, No. 3, 377-394 (2020). Reviewer: Jörg Härterich (Bochum) MSC: 37N05 37J12 37J25 70F07 70F15 70H15 70H33 53D20 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{J. Scheurle}, J. Geom. Mech. 12, No. 3, 377--394 (2020; Zbl 1477.37093) Full Text: DOI arXiv
Albouy, Alain; Dullin, Holger R. Relative equilibria of the 3-body problem in \(\mathbb{R}^4\). (English) Zbl 1459.37082 J. Geom. Mech. 12, No. 3, 323-341 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37N05 37J25 70F10 70F15 70H14 70H33 53D20 PDFBibTeX XMLCite \textit{A. Albouy} and \textit{H. R. Dullin}, J. Geom. Mech. 12, No. 3, 323--341 (2020; Zbl 1459.37082) Full Text: DOI arXiv
Martynchuk, N.; Dullin, H. R.; Efstathiou, K.; Waalkens, H. Scattering invariants in Euler’s two-center problem. (English) Zbl 1410.37058 Nonlinearity 32, No. 4, 1296-1326 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 34L25 57R22 70H05 37N05 70F15 70F16 PDFBibTeX XMLCite \textit{N. Martynchuk} et al., Nonlinearity 32, No. 4, 1296--1326 (2019; Zbl 1410.37058) Full Text: DOI arXiv
Papadopoulos, George; Dullin, Holger R. Semi-global symplectic invariants of the Euler top. (English) Zbl 1334.37055 J. Geom. Mech. 5, No. 2, 215-232 (2013). MSC: 37J15 70E15 70E40 70H06 37J35 34M45 PDFBibTeX XMLCite \textit{G. Papadopoulos} and \textit{H. R. Dullin}, J. Geom. Mech. 5, No. 2, 215--232 (2013; Zbl 1334.37055) Full Text: DOI arXiv
Dullin, Holger R. Semi-global symplectic invariants of the spherical pendulum. (English) Zbl 1266.37024 J. Differ. Equations 254, No. 7, 2942-2963 (2013). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37J35 37J15 37J40 70H06 70H08 37G20 PDFBibTeX XMLCite \textit{H. R. Dullin}, J. Differ. Equations 254, No. 7, 2942--2963 (2013; Zbl 1266.37024) Full Text: DOI arXiv
Dullin, Holger R.; Hanßmann, Heinz The degenerate C. Neumann system. I: Symmetry reduction and convexity. (English) Zbl 1364.53081 Cent. Eur. J. Math. 10, No. 5, 1627-1654 (2012). MSC: 53D20 37J15 70H06 70H33 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{H. Hanßmann}, Cent. Eur. J. Math. 10, No. 5, 1627--1654 (2012; Zbl 1364.53081) Full Text: DOI arXiv
Tong, William; Dullin, Holger R. The equilateral pentagon at zero angular momentum: maximal rotation through optimal deformation. (English) Zbl 1352.70049 SIAM J. Appl. Dyn. Syst. 11, No. 3, 963-987 (2012). MSC: 70H33 37J15 51P05 52B15 PDFBibTeX XMLCite \textit{W. Tong} and \textit{H. R. Dullin}, SIAM J. Appl. Dyn. Syst. 11, No. 3, 963--987 (2012; Zbl 1352.70049) Full Text: DOI arXiv
Schmidt, Sven; Dullin, Holger R.; Richter, Peter H. A Poincaré section for the general heavy rigid body. (English) Zbl 1159.70004 SIAM J. Appl. Dyn. Syst. 8, No. 1, 371-389 (2009). MSC: 70E17 70K99 70H07 65P20 65P30 PDFBibTeX XMLCite \textit{S. Schmidt} et al., SIAM J. Appl. Dyn. Syst. 8, No. 1, 371--389 (2009; Zbl 1159.70004) Full Text: DOI arXiv
Dullin, H. R.; Tsygvintsev, A. V. On the analytic non-integrability of the rattleback problem. (English) Zbl 1163.70010 Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 495-517 (2008). MSC: 70H07 70F25 70E18 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{A. V. Tsygvintsev}, Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 495--517 (2008; Zbl 1163.70010) Full Text: DOI arXiv Numdam EuDML
Dullin, H. R.; Ngọc, S. Vũ Symplectic invariants near hyperbolic-hyperbolic points. (English) Zbl 1229.37066 Regul. Chaotic Dyn. 12, No. 6, 689-716 (2007). MSC: 37J35 37J15 70H06 70H08 37G20 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{S. V. Ngọc}, Regul. Chaotic Dyn. 12, No. 6, 689--716 (2007; Zbl 1229.37066) Full Text: DOI
Davison, C. M.; Dullin, H. R. Geodesic flow on three-dimensional ellipsoids with equal semi-axes. (English) Zbl 1229.37050 Regul. Chaotic Dyn. 12, No. 2, 172-197 (2007). MSC: 37J15 37J35 53D25 70H06 70H33 PDFBibTeX XMLCite \textit{C. M. Davison} and \textit{H. R. Dullin}, Regul. Chaotic Dyn. 12, No. 2, 172--197 (2007; Zbl 1229.37050) Full Text: DOI arXiv
Davison, Chris M.; Dullin, Holger R.; Bolsinov, Alexey V. Geodesics on the ellipsoid and monodromy. (English) Zbl 1148.53026 J. Geom. Phys. 57, No. 12, 2437-2454 (2007). Reviewer: Ivailo Mladenov (Sofia) MSC: 53C22 53D20 53D25 70H45 PDFBibTeX XMLCite \textit{C. M. Davison} et al., J. Geom. Phys. 57, No. 12, 2437--2454 (2007; Zbl 1148.53026) Full Text: DOI arXiv
Dullin, Holger R.; Ivanov, Alexey V. Rotation function near resonant bifurcations. (English) Zbl 1330.37054 Bolsinov, A. V. et al., Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-904868-42-2/hbk). 89-114 (2006). MSC: 37J20 37E45 37G05 70H05 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{A. V. Ivanov}, in: Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers. 89--114 (2006; Zbl 1330.37054)
Dullin, H. R.; Ivanov, A. V. Vanishing twist in the Hamiltonian Hopf bifurcation. (English) Zbl 1088.37027 Physica D 201, No. 1-2, 27-44 (2005). MSC: 37J20 37J40 70H08 37G05 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{A. V. Ivanov}, Physica D 201, No. 1--2, 27--44 (2005; Zbl 1088.37027) Full Text: DOI arXiv
Dullin, Holger R.; Matveev, Vladimir S. A new natural Hamiltonian system on \(T^*S^2\) admitting an integral of degree 3 in momenta. (English) Zbl 1112.37313 Taş, Kenan (ed.) et al., Global analysis and applied mathematics. Proceedings of the international workshop on global analysis, Ankara, Turkey, April 15–17, 2004. Melville, NY: American Institute of Physics (ISBN 0-7354-0209-4/hbk). AIP Conference Proceedings 729, 141-146 (2004). MSC: 37J30 70H06 70E40 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{V. S. Matveev}, AIP Conf. Proc. 729, 141--146 (2004; Zbl 1112.37313)
Dullin, Holger R.; Vũ Ngọc San Vanishing twist near focus-focus points. (English) Zbl 1068.37039 Nonlinearity 17, No. 5, 1777-1785 (2004). MSC: 37J35 37J15 37J40 70H06 70H08 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{Vũ Ngọc San}, Nonlinearity 17, No. 5, 1777--1785 (2004; Zbl 1068.37039) Full Text: DOI arXiv
Dullin, Holger R.; Matveev, Vladimir S. A new integrable system on the sphere. (English) Zbl 1119.37039 Math. Res. Lett. 11, No. 5-6, 715-722 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{V. S. Matveev}, Math. Res. Lett. 11, No. 5--6, 715--722 (2004; Zbl 1119.37039) Full Text: DOI arXiv
Dullin, Holger; Giacobbe, Andrea; Cushman, Richard Monodromy in the resonant swing spring. (English) Zbl 1098.70520 Physica D 190, No. 1-2, 15-37 (2004). MSC: 70H33 35Q58 70K30 PDFBibTeX XMLCite \textit{H. Dullin} et al., Physica D 190, No. 1--2, 15--37 (2004; Zbl 1098.70520) Full Text: DOI arXiv
Dullin, H. R.; Meiss, J. D. Twist singularities for symplectic maps. (English) Zbl 1080.37574 Chaos 13, No. 1, 1-16 (2003). MSC: 37J10 37E40 37J40 70H05 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{J. D. Meiss}, Chaos 13, No. 1, 1--16 (2003; Zbl 1080.37574) Full Text: DOI Link
Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger Actions of the Neumann systems via Picard-Fuchs equations. (English) Zbl 1001.70013 Physica D 155, No. 3-4, 159-183 (2001). MSC: 70H06 37N05 PDFBibTeX XMLCite \textit{H. R. Dullin} et al., Physica D 155, No. 3--4, 159--183 (2001; Zbl 1001.70013) Full Text: DOI
Dullin, H. R.; Meiss, J. D.; Sterling, D. Generic twistless bifurcations. (English) Zbl 1005.37024 Nonlinearity 13, No. 1, 203-224 (2000). MSC: 37J20 37J10 70H05 PDFBibTeX XMLCite \textit{H. R. Dullin} et al., Nonlinearity 13, No. 1, 203--224 (2000; Zbl 1005.37024) Full Text: DOI arXiv
Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ. On integrals of the third degree in momenta. (English) Zbl 1012.37036 Regul. Chaotic Dyn. 4, No. 3, 35-44 (1999). MSC: 37J35 37K10 70H06 53D25 PDFBibTeX XMLCite \textit{H. R. Dullin} et al., Regul. Chaotic Dyn. 4, No. 3, 35--44 (1999; Zbl 1012.37036)
Dullin, Holger R. The energy surfaces of the Kovalevskaya top. (English) Zbl 1032.70501 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 330-334 (1999). MSC: 70E17 70H05 PDFBibTeX XMLCite \textit{H. R. Dullin}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 330--334 (1999; Zbl 1032.70501)
Sterling, D.; Dullin, H. R.; Meiss, J. D. Homoclinic bifurcations for the Hénon map. (English) Zbl 0987.37040 Physica D 134, No. 2, 153-184 (1999). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37G15 37D45 37J25 37J45 37E30 70H08 PDFBibTeX XMLCite \textit{D. Sterling} et al., Physica D 134, No. 2, 153--184 (1999; Zbl 0987.37040) Full Text: DOI arXiv
Dullin, Holger R.; Meiss, James D. Stability of minimal periodic orbits. (English) Zbl 1044.37512 Phys. Lett., A 247, No. 3, 227-234 (1998). MSC: 37E40 37C25 70H05 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{J. D. Meiss}, Phys. Lett., A 247, No. 3, 227--234 (1998; Zbl 1044.37512) Full Text: DOI
Howard, James E.; Dullin, Holger R. Linear stability of natural symplectic maps. (English) Zbl 1044.37518 Phys. Lett., A 246, No. 3-4, 273-283 (1998). MSC: 37J15 37J25 70H05 PDFBibTeX XMLCite \textit{J. E. Howard} and \textit{H. R. Dullin}, Phys. Lett., A 246, No. 3--4, 273--283 (1998; Zbl 1044.37518) Full Text: DOI
Dullin, H. R. Symbolic dynamics and the discrete variational principle. (English) Zbl 0937.37001 J. Phys. A, Math. Gen. 31, No. 45, 9065-9072 (1998). MSC: 37B10 37D50 70H05 PDFBibTeX XMLCite \textit{H. R. Dullin}, J. Phys. A, Math. Gen. 31, No. 45, 9065--9072 (1998; Zbl 0937.37001) Full Text: DOI Link
Dullin, H. R.; Richter, P. H.; Veselov, A. P. Action variables of the Kovalevskaya top. (English) Zbl 0952.37044 Regul. Chaotic Dyn. 3, No. 3, 18-31 (1998). Reviewer: Samir Musayev (Baku) MSC: 37K15 37K25 70H05 PDFBibTeX XMLCite \textit{H. R. Dullin} et al., Regul. Chaotic Dyn. 3, No. 3, 18--31 (1998; Zbl 0952.37044)
Dullin, H. R.; Wittek, A. Complete Poincaré sections and tangent sets. (English) Zbl 0900.70218 J. Phys. A, Math. Gen. 28, No. 24, 7157-7180 (1995). MSC: 70H05 37J99 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{A. Wittek}, J. Phys. A, Math. Gen. 28, No. 24, 7157--7180 (1995; Zbl 0900.70218) Full Text: DOI