Edit Profile (opens in new tab) Dullin, Holger R. Co-Author Distance Author ID: dullin.holger-r Published as: Dullin, Holger R.; Dullin, H. R.; Dullin, Holger; Dullin, H. more...less External Links: MGP · ORCID · dblp Documents Indexed: 93 Publications since 1994, including 4 Additional arXiv Preprints Co-Authors: 53 Co-Authors with 86 Joint Publications 956 Co-Co-Authors all top 5 Co-Authors 7 single-authored 13 Meiss, James D. 11 Waalkens, Holger 7 Richter, Peter H. 6 Worthington, Joachim 5 Ivanov, Alexey V. 5 Tong, William 4 Bolsinov, Alexey V. 4 Duignan, Nathan 4 Nguyen, Diana M. H. 4 Schmidt, Sven 4 Sterling, D. G. 4 Wittek, Andreas 3 Dawson, Sean R. 3 Marangell, Robert 3 Matveev, Vladimir S. 3 Veselov, Alexander Petrovich 2 Albouy, Alain 2 Alonso, Jaume 2 Bäcker, Arnd 2 Cushman, Richard H. 2 Davison, Chris M. 2 Easton, Robert W. 2 Efstathiou, Konstantinos 2 Gottwald, Georg A. 2 Hanßmann, Heinz 2 Hohloch, Sonja 2 Holm, Darryl Dallas 2 Howard, James E. 2 Vũ Ngọc, San 2 Wiersig, Jan 1 Arunasalam, Suntharan 1 Bharadwaj, Sudarsh 1 Chiscop, Irina 1 Creagh, Stephen C. 1 Fassò, Francesco 1 Giacobbe, Andrea 1 Grossmann, S. K. 1 Horányi, M. 1 Juhnke, Marcus 1 Junge, A. 1 Latushkin, Yuri 1 Leung, Karen 1 Lomelí, Héctor E. 1 Martynchuk, Nikolay N. 1 Montgomery, Richard 1 Papadopoulos, George 1 Pelayo, Alvaro 1 Rose, Danya 1 Scheurle, Jürgen 1 Tanner, Gregor K. 1 Topalov, Peter J. 1 Tsygvintsev, Alexei V. 1 Vasudevan, Shibi all top 5 Serials 16 Physica D 11 Nonlinearity 7 Journal of Physics A: Mathematical and General 7 Regular and Chaotic Dynamics 6 SIAM Journal on Applied Dynamical Systems 3 Annals of Physics 3 Journal of Geometric Mechanics 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Journal of Differential Equations 2 SIAM Journal on Applied Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Nonlinear Science 2 Chaos 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Mathematical Physics 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Physics 1 Fluid Dynamics Research 1 BIT 1 Studies in Applied Mathematics 1 Celestial Mechanics and Dynamical Astronomy 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Mathematical Research Letters 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Regularnaya & Khaoticheskaya Dinamika 1 Journal of Mathematical Fluid Mechanics 1 Physical Review Letters 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics all top 5 Fields 66 Dynamical systems and ergodic theory (37-XX) 54 Mechanics of particles and systems (70-XX) 13 Quantum theory (81-XX) 9 Partial differential equations (35-XX) 9 Differential geometry (53-XX) 8 Ordinary differential equations (34-XX) 8 Fluid mechanics (76-XX) 6 Numerical analysis (65-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Biology and other natural sciences (92-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 773 times in 553 Documents Cited by ▼ Year ▼ Camassa-Holm, Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water waves. Zbl 1032.76518 Dullin, Holger R.; Gottwald, Georg A.; Holm, Darryl D. 150 2003 On asymptotically equivalent shallow water wave equations. Zbl 1050.76008 Dullin, H. R.; Gottwald, G. A.; Holm, D. D. 112 2004 The problem of two fixed centers: bifurcations, actions, monodromy. Zbl 1098.70515 Waalkens, Holger; Dullin, Holger R.; Richter, Peter H. 29 2004 Homoclinic bifurcations for the Hénon map. Zbl 0987.37040 Sterling, D.; Dullin, H. R.; Meiss, J. D. 22 1999 Generic twistless bifurcations. Zbl 1005.37024 Dullin, H. R.; Meiss, J. D.; Sterling, D. 22 2000 Generalized Hénon maps: The cubic diffeomorphisms of the plane. Zbl 0961.37010 Dullin, H. R.; Meiss, J. D. 21 2000 Quadratic volume-preserving maps: invariant circles and bifurcations. Zbl 1183.37090 Dullin, H. R.; Meiss, J. D. 18 2009 A new integrable system on the sphere. Zbl 1119.37039 Dullin, Holger R.; Matveev, Vladimir S. 14 2004 Generating hyperbolic singularities in semitoric systems via Hopf bifurcations. Zbl 1369.37066 Dullin, Holger R.; Pelayo, Álvaro 14 2016 Geodesics on the ellipsoid and monodromy. Zbl 1148.53026 Davison, Chris M.; Dullin, Holger R.; Bolsinov, Alexey V. 14 2007 Extended phase diagram of the Lorenz model. Zbl 1185.37073 Dullin, H. R.; Schmidt, S.; Richter, P. H.; Grossmann, S. K. 14 2007 Resonances and twist in volume-preserving mappings. Zbl 1235.37017 Dullin, H. R.; Meiss, J. D. 13 2012 Complete Poincaré sections and tangent sets. Zbl 0900.70218 Dullin, H. R.; Wittek, A. 12 1995 Semi-global symplectic invariants of the spherical pendulum. Zbl 1266.37024 Dullin, Holger R. 12 2013 Quantum monodromy in prolate ellipsoidal billiards. Zbl 1001.37042 Waalkens, Holger; Dullin, Holger R. 11 2002 Taylor series and twisting-index invariants of coupled spin-oscillators. Zbl 1432.37083 Alonso, Jaume; Dullin, Holger R.; Hohloch, Sonja 11 2019 Symplectic classification of coupled angular momenta. Zbl 1435.37081 Alonso, Jaume; Dullin, Holger R.; Hohloch, Sonja 11 2020 Vanishing twist near focus-focus points. Zbl 1068.37039 Dullin, Holger R.; Vũ Ngọc San 10 2004 Generalizations of the Störmer problem for dust grain orbits. Zbl 1006.85003 Dullin, H. R.; Horányi, M.; Howard, J. E. 9 2002 Actions of the Neumann systems via Picard-Fuchs equations. Zbl 1001.70013 Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger 9 2001 Nonuniqueness of the phase shift in central scattering due to monodromy. Zbl 1228.81263 Dullin, Holger R.; Waalkens, Holger 9 2008 The \(1:\pm 2\) resonance. Zbl 1229.37039 Cushman, R. H.; Dullin, H. R.; Hanßmann, H.; Schmidt, S. 9 2007 Spectra of Sol-manifolds: Arithmetic and quantum monodromy. Zbl 1109.58027 Bolsinov, A. V.; Dullin, H. R.; Veselov, A. P. 9 2006 Linear stability in billiards with potential. Zbl 0896.58029 Dullin, Holger R. 8 1998 Twist singularities for symplectic maps. Zbl 1080.37574 Dullin, H. R.; Meiss, J. D. 8 2003 Monodromy in the resonant swing spring. Zbl 1098.70520 Dullin, Holger; Giacobbe, Andrea; Cushman, Richard 8 2004 Syzygies in the two center problem. Zbl 1358.37029 Dullin, Holger R.; Montgomery, Richard 8 2016 Action variables of the Kovalevskaya top. Zbl 0952.37044 Dullin, H. R.; Richter, P. H.; Veselov, A. P. 7 1998 Stability of levitrons. Zbl 0945.70020 Dullin, Holger R.; Easton, Robert W. 7 1999 Instability of equilibria for the two-dimensional Euler equations on the torus. Zbl 1343.76012 Dullin, Holger R.; Marangell, Robert; Worthington, Joachim 7 2016 Topology of energy surfaces and existence of transversal Poincaré sections. Zbl 0905.58006 Bolsinov, A.; Dullin, H. R.; Wittek, A. 7 1996 Vanishing twist in the Hamiltonian Hopf bifurcation. Zbl 1088.37027 Dullin, H. R.; Ivanov, A. V. 7 2005 Another look at the saddle-centre bifurcation: vanishing twist. Zbl 1112.37041 Dullin, H. R.; Ivanov, A. V. 7 2005 Symplectic invariants near hyperbolic-hyperbolic points. Zbl 1229.37066 Dullin, H. R.; Ngọc, S. Vũ 7 2007 Nilpotent normal form for divergence-free vector fields and volume-preserving maps. Zbl 1141.37005 Dullin, H. R.; Meiss, J. D. 7 2008 Quantum monodromy in the two-centre problem. Zbl 1038.81069 Waalkens, H.; Junge, A.; Dullin, H. R. 7 2003 Stability results for idealized shear flows on a rectangular periodic domain. Zbl 1393.76037 Dullin, Holger R.; Worthington, Joachim 6 2018 Poisson integrator for symmetric rigid bodies. Zbl 1102.70004 Dullin, Holger R. 6 2004 Action integrals and energy surfaces of the Kovalevskaya top. Zbl 0900.70144 Dullin, Holger R.; Juhnke, Marcus; Richter, Peter H. 6 1994 Dynamics near the \(p: - q\) resonance. Zbl 1205.37073 Schmidt, Sven; Dullin, Holger R. 6 2010 Symbolic dynamics and periodic orbits for the cardioid billiard. Zbl 0930.37002 Bäcker, A.; Dullin, H. R. 5 1997 A two-parameter study of the extent of chaos in a billiard system. Zbl 1055.37537 Dullin, Holger R.; Richter, Peter H.; Wittek, Andreas 5 1996 Elliptic quantum billiard. Zbl 0929.37008 Waalkens, Holger; Wiersig, Jan; Dullin, Holger R. 5 1997 Linear stability of natural symplectic maps. Zbl 1044.37518 Howard, James E.; Dullin, Holger R. 4 1998 Scattering invariants in Euler’s two-center problem. Zbl 1410.37058 Martynchuk, N.; Dullin, H. R.; Efstathiou, K.; Waalkens, H. 4 2019 Geodesic flow on three-dimensional ellipsoids with equal semi-axes. Zbl 1229.37050 Davison, C. M.; Dullin, H. R. 4 2007 The Lie-Poisson structure of the reduced \(n\)-body problem. Zbl 1268.70011 Dullin, Holger R. 4 2013 Semi-global symplectic invariants of the Euler top. Zbl 1334.37055 Papadopoulos, George; Dullin, Holger R. 4 2013 Poisson structure of the three-dimensional Euler equations in Fourier space. Zbl 1504.76029 Dullin, H. R.; Meiss, J. D.; Worthington, J. 4 2019 The degenerate C. Neumann system. I: Symmetry reduction and convexity. Zbl 1364.53081 Dullin, Holger R.; Hanßmann, Heinz 4 2012 Stability of minimal periodic orbits. Zbl 1044.37512 Dullin, Holger R.; Meiss, James D. 3 1998 The diver with a rotor. Zbl 1369.70006 Bharadwaj, Sudarsh; Duignan, Nathan; Dullin, Holger R.; Leung, Karen; Tong, William 3 2016 On integrals of the third degree in momenta. Zbl 1012.37036 Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ. 3 1999 On the Euler case in the dynamics of a rigid body and the Jacobi problem. Zbl 1001.70502 Bolsinov, A. V.; Dullin, H. 3 1997 A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum. Zbl 1293.37031 Rose, Danya; Dullin, Holger R. 3 2013 An algorithm for detecting directional quasi-convexity. Zbl 1069.65142 Dullin, Holger; Fassò, Francesco 3 2004 Symbolic codes for rotational orbits. Zbl 1136.34313 Dullin, H. R.; Meiss, J. D.; Sterling, D. G. 3 2005 Symmetry reduction by lifting for maps. Zbl 1259.37034 Dullin, H. R.; Lomelí, H. E.; Meiss, J. D. 3 2012 Regularisation for planar vector fields. Zbl 1428.37027 Duignan, Nathan; Dullin, Holger R. 3 2020 Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations. Zbl 1447.35255 Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim 3 2020 On the \(C^{8/3}\)-regularisation of simultaneous binary collisions in the collinear 4-body problem. Zbl 1473.70022 Duignan, Nathan; Dullin, Holger R. 3 2020 Triaxial ellipsoidal quantum billiards. Zbl 0962.81016 Waalkens, Holger; Wiersig, Jan; Dullin, Holger R. 2 1999 Twisting somersault. Zbl 1396.70009 Dullin, Holger R.; Tong, William 2 2016 The vanishing twist in the restricted three-body problem. Zbl 1370.70033 Dullin, Holger R.; Worthington, Joachim 2 2014 Self-rotation number using the turning angle. Zbl 0969.37019 Dullin, H. R.; Sterling, D.; Meiss, J. D. 2 2000 Normal forms for 4D symplectic maps with twist singularities. Zbl 1103.37035 Dullin, H. R.; Ivanov, A. V.; Meiss, J. D. 2 2006 Maslov indices and monodromy. Zbl 1181.37085 Dullin, H. R.; Robbins, J. M.; Waalkens, H.; Creagh, S. C.; Tanner, G. 2 2005 On the analytic non-integrability of the rattleback problem. Zbl 1163.70010 Dullin, H. R.; Tsygvintsev, A. V. 2 2008 Relative equilibria of the 3-body problem in \(\mathbb{R}^4\). Zbl 1459.37082 Albouy, Alain; Dullin, Holger R. 2 2020 The Lie-Poisson structure of the symmetry reduced regularized \(n\)-body problem. Zbl 1308.70010 Arunasalam, Suntharan; Dullin, Holger R.; Nguyen, Diana M. H. 1 2015 About ergodicity in the family of limaçon billiards. Zbl 1001.37031 Dullin, Holger R.; Bäcker, Arnd 1 2001 Efficient calculation of actions. Zbl 0847.58043 Dullin, H. R.; Wittek, A. 1 1994 Stability theory of the 3-dimensional Euler equations. Zbl 1434.76039 Dullin, Holger R.; Worthington, Joachim 1 2019 Rotation function near resonant bifurcations. Zbl 1330.37054 Dullin, Holger R.; Ivanov, Alexey V. 1 2006 Twistless tori near low-order resonances. Zbl 1120.37035 Dullin, H. R.; Ivanov, A. V. 1 2005 On the \(C^{8/3}\)-regularisation of simultaneous binary collisions in the planar four-body problem. Zbl 1473.70023 Duignan, Nathan; Dullin, Holger R. 1 2021 On the \(C^{8/3}\)-regularisation of simultaneous binary collisions in the planar four-body problem. Zbl 1473.70023 Duignan, Nathan; Dullin, Holger R. 1 2021 Symplectic classification of coupled angular momenta. Zbl 1435.37081 Alonso, Jaume; Dullin, Holger R.; Hohloch, Sonja 11 2020 Regularisation for planar vector fields. Zbl 1428.37027 Duignan, Nathan; Dullin, Holger R. 3 2020 Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations. Zbl 1447.35255 Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim 3 2020 On the \(C^{8/3}\)-regularisation of simultaneous binary collisions in the collinear 4-body problem. Zbl 1473.70022 Duignan, Nathan; Dullin, Holger R. 3 2020 Relative equilibria of the 3-body problem in \(\mathbb{R}^4\). Zbl 1459.37082 Albouy, Alain; Dullin, Holger R. 2 2020 Taylor series and twisting-index invariants of coupled spin-oscillators. Zbl 1432.37083 Alonso, Jaume; Dullin, Holger R.; Hohloch, Sonja 11 2019 Scattering invariants in Euler’s two-center problem. Zbl 1410.37058 Martynchuk, N.; Dullin, H. R.; Efstathiou, K.; Waalkens, H. 4 2019 Poisson structure of the three-dimensional Euler equations in Fourier space. Zbl 1504.76029 Dullin, H. R.; Meiss, J. D.; Worthington, J. 4 2019 Stability theory of the 3-dimensional Euler equations. Zbl 1434.76039 Dullin, Holger R.; Worthington, Joachim 1 2019 Stability results for idealized shear flows on a rectangular periodic domain. Zbl 1393.76037 Dullin, Holger R.; Worthington, Joachim 6 2018 Generating hyperbolic singularities in semitoric systems via Hopf bifurcations. Zbl 1369.37066 Dullin, Holger R.; Pelayo, Álvaro 14 2016 Syzygies in the two center problem. Zbl 1358.37029 Dullin, Holger R.; Montgomery, Richard 8 2016 Instability of equilibria for the two-dimensional Euler equations on the torus. Zbl 1343.76012 Dullin, Holger R.; Marangell, Robert; Worthington, Joachim 7 2016 The diver with a rotor. Zbl 1369.70006 Bharadwaj, Sudarsh; Duignan, Nathan; Dullin, Holger R.; Leung, Karen; Tong, William 3 2016 Twisting somersault. Zbl 1396.70009 Dullin, Holger R.; Tong, William 2 2016 The Lie-Poisson structure of the symmetry reduced regularized \(n\)-body problem. Zbl 1308.70010 Arunasalam, Suntharan; Dullin, Holger R.; Nguyen, Diana M. H. 1 2015 The vanishing twist in the restricted three-body problem. Zbl 1370.70033 Dullin, Holger R.; Worthington, Joachim 2 2014 Semi-global symplectic invariants of the spherical pendulum. Zbl 1266.37024 Dullin, Holger R. 12 2013 The Lie-Poisson structure of the reduced \(n\)-body problem. Zbl 1268.70011 Dullin, Holger R. 4 2013 Semi-global symplectic invariants of the Euler top. Zbl 1334.37055 Papadopoulos, George; Dullin, Holger R. 4 2013 A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum. Zbl 1293.37031 Rose, Danya; Dullin, Holger R. 3 2013 Resonances and twist in volume-preserving mappings. Zbl 1235.37017 Dullin, H. R.; Meiss, J. D. 13 2012 The degenerate C. Neumann system. I: Symmetry reduction and convexity. Zbl 1364.53081 Dullin, Holger R.; Hanßmann, Heinz 4 2012 Symmetry reduction by lifting for maps. Zbl 1259.37034 Dullin, H. R.; Lomelí, H. E.; Meiss, J. D. 3 2012 Dynamics near the \(p: - q\) resonance. Zbl 1205.37073 Schmidt, Sven; Dullin, Holger R. 6 2010 Quadratic volume-preserving maps: invariant circles and bifurcations. Zbl 1183.37090 Dullin, H. R.; Meiss, J. D. 18 2009 Nonuniqueness of the phase shift in central scattering due to monodromy. Zbl 1228.81263 Dullin, Holger R.; Waalkens, Holger 9 2008 Nilpotent normal form for divergence-free vector fields and volume-preserving maps. Zbl 1141.37005 Dullin, H. R.; Meiss, J. D. 7 2008 On the analytic non-integrability of the rattleback problem. Zbl 1163.70010 Dullin, H. R.; Tsygvintsev, A. V. 2 2008 Geodesics on the ellipsoid and monodromy. Zbl 1148.53026 Davison, Chris M.; Dullin, Holger R.; Bolsinov, Alexey V. 14 2007 Extended phase diagram of the Lorenz model. Zbl 1185.37073 Dullin, H. R.; Schmidt, S.; Richter, P. H.; Grossmann, S. K. 14 2007 The \(1:\pm 2\) resonance. Zbl 1229.37039 Cushman, R. H.; Dullin, H. R.; Hanßmann, H.; Schmidt, S. 9 2007 Symplectic invariants near hyperbolic-hyperbolic points. Zbl 1229.37066 Dullin, H. R.; Ngọc, S. Vũ 7 2007 Geodesic flow on three-dimensional ellipsoids with equal semi-axes. Zbl 1229.37050 Davison, C. M.; Dullin, H. R. 4 2007 Spectra of Sol-manifolds: Arithmetic and quantum monodromy. Zbl 1109.58027 Bolsinov, A. V.; Dullin, H. R.; Veselov, A. P. 9 2006 Normal forms for 4D symplectic maps with twist singularities. Zbl 1103.37035 Dullin, H. R.; Ivanov, A. V.; Meiss, J. D. 2 2006 Rotation function near resonant bifurcations. Zbl 1330.37054 Dullin, Holger R.; Ivanov, Alexey V. 1 2006 Vanishing twist in the Hamiltonian Hopf bifurcation. Zbl 1088.37027 Dullin, H. R.; Ivanov, A. V. 7 2005 Another look at the saddle-centre bifurcation: vanishing twist. Zbl 1112.37041 Dullin, H. R.; Ivanov, A. V. 7 2005 Symbolic codes for rotational orbits. Zbl 1136.34313 Dullin, H. R.; Meiss, J. D.; Sterling, D. G. 3 2005 Maslov indices and monodromy. Zbl 1181.37085 Dullin, H. R.; Robbins, J. M.; Waalkens, H.; Creagh, S. C.; Tanner, G. 2 2005 Twistless tori near low-order resonances. Zbl 1120.37035 Dullin, H. R.; Ivanov, A. V. 1 2005 On asymptotically equivalent shallow water wave equations. Zbl 1050.76008 Dullin, H. R.; Gottwald, G. A.; Holm, D. D. 112 2004 The problem of two fixed centers: bifurcations, actions, monodromy. Zbl 1098.70515 Waalkens, Holger; Dullin, Holger R.; Richter, Peter H. 29 2004 A new integrable system on the sphere. Zbl 1119.37039 Dullin, Holger R.; Matveev, Vladimir S. 14 2004 Vanishing twist near focus-focus points. Zbl 1068.37039 Dullin, Holger R.; Vũ Ngọc San 10 2004 Monodromy in the resonant swing spring. Zbl 1098.70520 Dullin, Holger; Giacobbe, Andrea; Cushman, Richard 8 2004 Poisson integrator for symmetric rigid bodies. Zbl 1102.70004 Dullin, Holger R. 6 2004 An algorithm for detecting directional quasi-convexity. Zbl 1069.65142 Dullin, Holger; Fassò, Francesco 3 2004 Camassa-Holm, Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water waves. Zbl 1032.76518 Dullin, Holger R.; Gottwald, Georg A.; Holm, Darryl D. 150 2003 Twist singularities for symplectic maps. Zbl 1080.37574 Dullin, H. R.; Meiss, J. D. 8 2003 Quantum monodromy in the two-centre problem. Zbl 1038.81069 Waalkens, H.; Junge, A.; Dullin, H. R. 7 2003 Quantum monodromy in prolate ellipsoidal billiards. Zbl 1001.37042 Waalkens, Holger; Dullin, Holger R. 11 2002 Generalizations of the Störmer problem for dust grain orbits. Zbl 1006.85003 Dullin, H. R.; Horányi, M.; Howard, J. E. 9 2002 Actions of the Neumann systems via Picard-Fuchs equations. Zbl 1001.70013 Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger 9 2001 About ergodicity in the family of limaçon billiards. Zbl 1001.37031 Dullin, Holger R.; Bäcker, Arnd 1 2001 Generic twistless bifurcations. Zbl 1005.37024 Dullin, H. R.; Meiss, J. D.; Sterling, D. 22 2000 Generalized Hénon maps: The cubic diffeomorphisms of the plane. Zbl 0961.37010 Dullin, H. R.; Meiss, J. D. 21 2000 Self-rotation number using the turning angle. Zbl 0969.37019 Dullin, H. R.; Sterling, D.; Meiss, J. D. 2 2000 Homoclinic bifurcations for the Hénon map. Zbl 0987.37040 Sterling, D.; Dullin, H. R.; Meiss, J. D. 22 1999 Stability of levitrons. Zbl 0945.70020 Dullin, Holger R.; Easton, Robert W. 7 1999 On integrals of the third degree in momenta. Zbl 1012.37036 Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ. 3 1999 Triaxial ellipsoidal quantum billiards. Zbl 0962.81016 Waalkens, Holger; Wiersig, Jan; Dullin, Holger R. 2 1999 Linear stability in billiards with potential. Zbl 0896.58029 Dullin, Holger R. 8 1998 Action variables of the Kovalevskaya top. Zbl 0952.37044 Dullin, H. R.; Richter, P. H.; Veselov, A. P. 7 1998 Linear stability of natural symplectic maps. Zbl 1044.37518 Howard, James E.; Dullin, Holger R. 4 1998 Stability of minimal periodic orbits. Zbl 1044.37512 Dullin, Holger R.; Meiss, James D. 3 1998 Symbolic dynamics and periodic orbits for the cardioid billiard. Zbl 0930.37002 Bäcker, A.; Dullin, H. R. 5 1997 Elliptic quantum billiard. Zbl 0929.37008 Waalkens, Holger; Wiersig, Jan; Dullin, Holger R. 5 1997 On the Euler case in the dynamics of a rigid body and the Jacobi problem. Zbl 1001.70502 Bolsinov, A. V.; Dullin, H. 3 1997 Topology of energy surfaces and existence of transversal Poincaré sections. Zbl 0905.58006 Bolsinov, A.; Dullin, H. R.; Wittek, A. 7 1996 A two-parameter study of the extent of chaos in a billiard system. Zbl 1055.37537 Dullin, Holger R.; Richter, Peter H.; Wittek, Andreas 5 1996 Complete Poincaré sections and tangent sets. Zbl 0900.70218 Dullin, H. R.; Wittek, A. 12 1995 Action integrals and energy surfaces of the Kovalevskaya top. Zbl 0900.70144 Dullin, Holger R.; Juhnke, Marcus; Richter, Peter H. 6 1994 Efficient calculation of actions. Zbl 0847.58043 Dullin, H. R.; Wittek, A. 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 691 Authors 34 Dullin, Holger R. 23 Yin, Zhaoyang 15 Meiss, James D. 12 Efstathiou, Konstantinos 11 Pelayo, Alvaro 11 Tian, Lixin 10 Barrio, Roberto 10 Borisov, Alekseĭ Vladimirovich 9 Mamaev, Ivan Sergeevich 8 Palacián, Jesús F. 8 Vũ Ngọc, San 8 Waalkens, Holger 8 Yanguas, Patricia 7 Hohloch, Sonja 7 Liu, Zhengrong 7 Martynchuk, Nikolay N. 7 Shen, Chunyu 7 Zhilinskií, Boris I. 7 Zhou, Shouming 6 Bäcker, Arnd 6 Blesa, Fernando 6 Hanßmann, Heinz 6 Li, Jinlu 6 Li, Nianhua 6 Liu, Yue 6 Rom-Kedar, Vered 6 Serrano, Sergio E. 6 Worthington, Joachim 6 Wu, Xinglong 5 Baik, Jong-Jin 5 Bolsinov, Alexey V. 5 Broer, Henk W. 5 Cushman, Richard H. 5 Iñarrea, Manuel 5 Lanchares, Víctor 5 Mireles-James, Jason D. 5 Pascual, Ana Isabel 5 Pucacco, Giuseppe 5 Sadovskií, Dmitrií A. 5 Salas, José Pablo 4 Anastassiou, Stavros 4 Bizyaev, Ivan Alekseevich 4 da Silva, Priscila Leal 4 Dragović, Vladimir 4 Escher, Joachim 4 Gao, Anna 4 Giacobbe, Andrea 4 Hone, Andrew N. W. 4 Ivanov, Alexey V. 4 Ivanov, Rossen I. 4 Kim, Seongchan 4 Kohlmann, Martin 4 Lai, Shaoyong 4 Li, Jibin 4 Moon, Sungju 4 Palmer, Joseph 4 Park, Junho 4 Radnović, Milena 4 Simó, Carles 4 Tsyganov, Andreĭ Vladimirovich 4 Tu, Xi 4 Vieiro, Arturo 4 Waters, Thomas J. 4 Zhang, Lei 3 Alonso, Jaume 3 Asselle, Luca 3 Chen, Aiyong 3 Chen, Robin Ming 3 de la Llave, Rafael 3 Fassò, Francesco 3 Fox, Adam M. 3 Freire, Igor Leite 3 Gao, Hongjun 3 Geiser, Jürgen 3 Gonchenko, Marina S. 3 Guo, Zhengguang 3 Hoveijn, Igor 3 Kazakov, Alexey O. 3 Kilin, Aleksandr Aleksandrovich 3 Kudryavtseva, Elena A. 3 Li, Min 3 Li, Xiuting 3 Long, Yao 3 Marchesiello, Antonella 3 Matveev, Vladimir S. 3 Moon, Byungsoo 3 Mu, Chunlai 3 Qiao, Zhijun 3 Ryabov, Pavel Evgen’evich 3 Seo, Jaemyeong Mango 3 Tang, Hao 3 Veselov, Alexander Petrovich 3 Xie, Shaolong 3 Xu, Junxiang 3 Zhu, Weipeng 3 Zub, Stanislav S. 2 Anco, Stephen C. 2 Apte, Amit 2 Barnes, L. E. 2 Bhat, Harish S. ...and 591 more Authors all top 5 Cited in 139 Serials 41 Physica D 33 Regular and Chaotic Dynamics 24 Chaos 20 Journal of Mathematical Physics 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16 Discrete and Continuous Dynamical Systems 15 Journal of Geometry and Physics 14 Journal of Mathematical Analysis and Applications 14 Nonlinearity 14 Journal of Differential Equations 14 Journal of Nonlinear Science 14 Nonlinear Analysis. Real World Applications 13 Chaos, Solitons and Fractals 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Physics A: Mathematical and Theoretical 12 SIAM Journal on Applied Dynamical Systems 11 Communications in Mathematical Physics 10 Applied Mathematics and Computation 9 Communications in Nonlinear Science and Numerical Simulation 8 Applicable Analysis 8 Journal of Nonlinear Mathematical Physics 7 Celestial Mechanics and Dynamical Astronomy 6 Monatshefte für Mathematik 6 Qualitative Theory of Dynamical Systems 6 Journal of Geometric Mechanics 5 Archive for Rational Mechanics and Analysis 5 Letters in Mathematical Physics 5 Theoretical and Mathematical Physics 5 Ergodic Theory and Dynamical Systems 5 Acta Applicandae Mathematicae 5 Journal of Mathematical Fluid Mechanics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Wave Motion 4 Journal of Mathematical Sciences (New York) 4 Journal of Inequalities and Applications 3 Mathematical Methods in the Applied Sciences 3 Journal of Functional Analysis 3 Journal of Dynamics and Differential Equations 3 Indagationes Mathematicae. New Series 3 Russian Journal of Mathematical Physics 3 Nonlinear Dynamics 3 Abstract and Applied Analysis 3 Advances in Difference Equations 2 Mathematical Notes 2 Physica A 2 Physics Letters. A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Zeitschrift 2 Quarterly of Applied Mathematics 2 Science in China. Series A 2 International Journal of Modern Physics C 2 Dynamical Systems 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 Boundary Value Problems 2 Proceedings of the Steklov Institute of Mathematics 2 Advances in Mathematical Physics 2 Journal of Function Spaces 2 Open Mathematics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Journal of Fluid Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Siberian Mathematical Journal 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications 1 Stochastic Analysis and Applications 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Differential Geometry and its Applications 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Annals of Physics 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 New Zealand Journal of Mathematics 1 Cybernetics and Systems Analysis 1 Calculus of Variations and Partial Differential Equations 1 Sbornik: Mathematics 1 Journal of Mathematical Chemistry ...and 39 more Serials all top 5 Cited in 40 Fields 317 Dynamical systems and ergodic theory (37-XX) 211 Partial differential equations (35-XX) 156 Mechanics of particles and systems (70-XX) 66 Fluid mechanics (76-XX) 61 Differential geometry (53-XX) 43 Quantum theory (81-XX) 42 Ordinary differential equations (34-XX) 24 Global analysis, analysis on manifolds (58-XX) 24 Numerical analysis (65-XX) 13 Algebraic geometry (14-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Optics, electromagnetic theory (78-XX) 8 Difference and functional equations (39-XX) 8 Astronomy and astrophysics (85-XX) 7 Manifolds and cell complexes (57-XX) 7 Systems theory; control (93-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 3 Algebraic topology (55-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year