Edit Profile (opens in new tab) Hanßmann, Heinz Co-Author Distance Author ID: hanssmann.heinz Published as: Hanßmann, Heinz; Hanssmann, Heinz; Hanßmann, H. more...less Documents Indexed: 48 Publications since 1995, including 2 Books and 1 Additional arXiv Preprint 2 Contributions as Editor Co-Authors: 32 Co-Authors with 34 Joint Publications 816 Co-Co-Authors all top 5 Co-Authors 16 single-authored 15 Broer, Henk W. 5 Wagener, Florian 3 van der Meer, Jan-Cees 3 You, Jiangong 2 Ciocci, Maria-Cristina 2 Cushman, Richard H. 2 Dullin, Holger R. 2 Ferrer, Sebastián 2 Hoo, Jun 2 Hoveijn, Igor 2 Jorba, Àngel 2 Marchesiello, Antonella 2 van Strien, Sebastian J. 2 Villanueva, Jordi 1 Bosschaert, Maikel M. 1 Efstathiou, Konstantinos 1 Holmes, Philip J. 1 Homburg, Ale Jan 1 Leonard, Naomi Ehrich 1 Mazrooei-Sebdani, Reza 1 Naudot, Vincent 1 Palacián, Jesús F. 1 Pucacco, Giuseppe 1 Schmidt, Sven 1 Si, Jianguo 1 Simó, Carles 1 Smith, Troy R. 1 Sommer, Britta 1 Vanderbauwhede, Andre L. 1 Verhulst, Ferdinand 1 Waalkens, Holger 1 Yanguas, Patricia all top 5 Serials 6 Indagationes Mathematicae. New Series 5 Nonlinearity 4 Regular and Chaotic Dynamics 3 Journal of Differential Equations 2 Journal of Geometry and Physics 2 Acta Applicandae Mathematicae 2 Physica D 2 Journal of Dynamics and Differential Equations 1 Celestial Mechanics and Dynamical Astronomy 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 European Journal of Control 1 Regularnaya & Khaoticheskaya Dinamika 1 Qualitative Theory of Dynamical Systems 1 Dynamical Systems 1 Central European Journal of Mathematics 1 Epsilon Uitgaven 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 40 Dynamical systems and ergodic theory (37-XX) 29 Mechanics of particles and systems (70-XX) 14 Ordinary differential equations (34-XX) 2 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 402 times in 179 Documents Cited by ▼ Year ▼ Local and semi-local bifurcations in Hamiltonian dynamical systems. Results and examples. Zbl 1120.37036 Hanßmann, Heinz 57 2007 Quasi-periodic stability of normally resonant tori. Zbl 1156.37318 Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz; Vanderbauwhede, André 26 2009 Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach. Zbl 1049.34044 Broer, Henk; Hanßmann, Heinz; Jorba, Ángel; Villanueva, Jordi; Wagener, Florian 25 2003 The quasi-periodic centre-saddle bifurcation. Zbl 0936.37028 Hanßmann, Heinz 24 1998 On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials. Zbl 1037.34031 Ferrer, Sebastián; Hanßmann, Heinz; Palacián, Jesús; Yanguas, Patricia 21 2002 Bifurcations of normally parabolic tori in Hamiltonian systems. Zbl 1181.37072 Broer, Henk W.; Hanßmann, Heinz; You, Jiangong 20 2005 Umbilical torus bifurcations in Hamiltonian systems. Zbl 1085.37048 Broer, Henk W.; Hanßmann, Heinz; You, Jiangong 18 2006 The quasi-periodic reversible Hopf bifurcation. Zbl 1141.37342 Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz 17 2007 Singular reduction of axially symmetric perturbations of the isotropic harmonic oscillator. Zbl 0952.70017 Cushman, Richard; Ferrer, Sebastián; Hanßmann, Heinz 16 1999 On the Hamiltonian Hopf bifurcations in the 3D Hénon-Heiles family. Zbl 1035.37038 Hanßmann, Heinz; van der Meer, Jan-Cees 14 2002 Quasi-periodic bifurcations in reversible systems. Zbl 1225.37059 Hanßmann, Heinz 13 2011 The quasi-periodic Hamiltonian Hopf bifurcation. Zbl 1121.37042 Broer, Henk W.; Hanßmann, Heinz; Hoo, Jun 13 2007 Algebraic methods for determining Hamiltonian Hopf bifurcations in three-degree-of-freedom systems. Zbl 1078.37041 Hanßmann, Heinz; van der Meer, Jan-Cees 12 2005 On the destruction of resonant Lagrangean tori in Hamiltonian systems. Zbl 1314.37044 Broer, Henk W.; Hanßmann, Heinz; You, Jiangong 11 2013 A degenerate bifurcation in the Hénon-Heiles family. Zbl 0999.70012 Hanßmann, Heinz; Sommer, Britta 11 2001 Quasi-periodic solutions and stability of the equilibrium for quasi-periodically forced planar reversible and Hamiltonian systems under the Bruno condition. Zbl 1196.37101 Hanßmann, Heinz; Si, Jianguo 11 2010 The \(1:\pm 2\) resonance. Zbl 1229.37039 Cushman, R. H.; Dullin, H. R.; Hanßmann, H.; Schmidt, S. 9 2007 Hamiltonian torus bifurcations related to simple singularities. Zbl 1071.37035 Hanssmann, Heinz 8 2004 On Jupiter and his Galilean satellites: librations of de Sitter’s periodic motions. Zbl 1388.70007 Broer, Henk W.; Hanßmann, Heinz 8 2016 The reversible umbilic bifurcation. Zbl 1194.37080 Hanßmann, Heinz 8 1998 Persistence properties of normally hyperbolic Tori. Zbl 1400.37067 Broer, Henk; Hanßmann, Heinz; Wagener, Florian 6 2018 The \(1 : 2 : 4\) resonance in a particle chain. Zbl 1460.70019 Hanßmann, Heinz; Mazrooei-Sebdani, Reza; Verhulst, Ferdinand 6 2021 Quasi-periodic motions of a rigid body. I: Quadratic Hamiltonians on the sphere with a distinguished parameter. Zbl 0935.70006 Hanßmann, Heinz 5 1997 On Hamiltonian bifurcations of invariant tori with a Floquet multiplier - 1. Zbl 1136.37346 Hanßmann, Heinz 5 2006 On nondegenerate Hamiltonian Hopf bifurcations in 2DOF systems. Zbl 1102.37037 Hanßmann, H.; van der Meer, J. C. 5 2005 Symmetry and reduction for coordinated rigid bodies. Zbl 1293.93047 Hanßmann, Heinz; Ehrich Leonard, Naomi; Smith, Troy R. 4 2006 Non-degeneracy conditions in KAM theory. Zbl 1253.37058 Hanßmann, Heinz 4 2011 The degenerate C. Neumann system. I: Symmetry reduction and convexity. Zbl 1364.53081 Dullin, Holger R.; Hanßmann, Heinz 4 2012 Dynamical stability of quasi-periodic response solutions in planar conservative systems. Zbl 1287.37035 Hanßmann, Heinz; Simó, Carles 4 2012 Bifurcations in Hamiltonian systems with a reflecting symmetry. Zbl 1270.37054 Bosschaert, Maikel; Hanßmann, Heinz 3 2013 The 1:1 resonance in Hamiltonian systems. Zbl 1409.37061 Hanßmann, Heinz; Hoveijn, Igor 2 2019 Bifurcations and monodromy of the axially symmetric \(1:1:-2\) resonance. Zbl 1469.37042 Efstathiou, Konstantinos; Hanßmann, Heinz; Marchesiello, Antonella 2 2019 Perturbations of superintegrable systems. Zbl 1314.37045 Hanßmann, Heinz 2 2015 Bifurcations in volume-preserving systems. Zbl 1422.37035 Broer, Henk W.; Hanßmann, Heinz 2 2019 Normal resonances in a double Hopf bifurcation. Zbl 1461.37051 Broer, Henk; Hanßmann, Heinz; Wagener, Florian 2 2021 On the global dynamics of Kirchhoff’s equations: Rigid body models for underwater vehicles. Zbl 1015.37043 Hanßmann, Heinz; Holmes, Philip 1 2001 Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory. Zbl 1125.70003 Broer, H. W.; Hanßmann, H.; Hoo, J.; Naudot, V. 1 2006 Quasi-periodic motion of a rigid body under weak forces. Zbl 0970.70008 Hanßmann, Heinz 1 1999 Hamiltonian bifurcations of invariant tori with a vanishing Floquet exponent. Zbl 1107.37043 Hanßmann, Heinz 1 2005 The \(1 : 2 : 4\) resonance in a particle chain. Zbl 1460.70019 Hanßmann, Heinz; Mazrooei-Sebdani, Reza; Verhulst, Ferdinand 6 2021 Normal resonances in a double Hopf bifurcation. Zbl 1461.37051 Broer, Henk; Hanßmann, Heinz; Wagener, Florian 2 2021 The 1:1 resonance in Hamiltonian systems. Zbl 1409.37061 Hanßmann, Heinz; Hoveijn, Igor 2 2019 Bifurcations and monodromy of the axially symmetric \(1:1:-2\) resonance. Zbl 1469.37042 Efstathiou, Konstantinos; Hanßmann, Heinz; Marchesiello, Antonella 2 2019 Bifurcations in volume-preserving systems. Zbl 1422.37035 Broer, Henk W.; Hanßmann, Heinz 2 2019 Persistence properties of normally hyperbolic Tori. Zbl 1400.37067 Broer, Henk; Hanßmann, Heinz; Wagener, Florian 6 2018 On Jupiter and his Galilean satellites: librations of de Sitter’s periodic motions. Zbl 1388.70007 Broer, Henk W.; Hanßmann, Heinz 8 2016 Perturbations of superintegrable systems. Zbl 1314.37045 Hanßmann, Heinz 2 2015 On the destruction of resonant Lagrangean tori in Hamiltonian systems. Zbl 1314.37044 Broer, Henk W.; Hanßmann, Heinz; You, Jiangong 11 2013 Bifurcations in Hamiltonian systems with a reflecting symmetry. Zbl 1270.37054 Bosschaert, Maikel; Hanßmann, Heinz 3 2013 The degenerate C. Neumann system. I: Symmetry reduction and convexity. Zbl 1364.53081 Dullin, Holger R.; Hanßmann, Heinz 4 2012 Dynamical stability of quasi-periodic response solutions in planar conservative systems. Zbl 1287.37035 Hanßmann, Heinz; Simó, Carles 4 2012 Quasi-periodic bifurcations in reversible systems. Zbl 1225.37059 Hanßmann, Heinz 13 2011 Non-degeneracy conditions in KAM theory. Zbl 1253.37058 Hanßmann, Heinz 4 2011 Quasi-periodic solutions and stability of the equilibrium for quasi-periodically forced planar reversible and Hamiltonian systems under the Bruno condition. Zbl 1196.37101 Hanßmann, Heinz; Si, Jianguo 11 2010 Quasi-periodic stability of normally resonant tori. Zbl 1156.37318 Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz; Vanderbauwhede, André 26 2009 Local and semi-local bifurcations in Hamiltonian dynamical systems. Results and examples. Zbl 1120.37036 Hanßmann, Heinz 57 2007 The quasi-periodic reversible Hopf bifurcation. Zbl 1141.37342 Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz 17 2007 The quasi-periodic Hamiltonian Hopf bifurcation. Zbl 1121.37042 Broer, Henk W.; Hanßmann, Heinz; Hoo, Jun 13 2007 The \(1:\pm 2\) resonance. Zbl 1229.37039 Cushman, R. H.; Dullin, H. R.; Hanßmann, H.; Schmidt, S. 9 2007 Umbilical torus bifurcations in Hamiltonian systems. Zbl 1085.37048 Broer, Henk W.; Hanßmann, Heinz; You, Jiangong 18 2006 On Hamiltonian bifurcations of invariant tori with a Floquet multiplier - 1. Zbl 1136.37346 Hanßmann, Heinz 5 2006 Symmetry and reduction for coordinated rigid bodies. Zbl 1293.93047 Hanßmann, Heinz; Ehrich Leonard, Naomi; Smith, Troy R. 4 2006 Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory. Zbl 1125.70003 Broer, H. W.; Hanßmann, H.; Hoo, J.; Naudot, V. 1 2006 Bifurcations of normally parabolic tori in Hamiltonian systems. Zbl 1181.37072 Broer, Henk W.; Hanßmann, Heinz; You, Jiangong 20 2005 Algebraic methods for determining Hamiltonian Hopf bifurcations in three-degree-of-freedom systems. Zbl 1078.37041 Hanßmann, Heinz; van der Meer, Jan-Cees 12 2005 On nondegenerate Hamiltonian Hopf bifurcations in 2DOF systems. Zbl 1102.37037 Hanßmann, H.; van der Meer, J. C. 5 2005 Hamiltonian bifurcations of invariant tori with a vanishing Floquet exponent. Zbl 1107.37043 Hanßmann, Heinz 1 2005 Hamiltonian torus bifurcations related to simple singularities. Zbl 1071.37035 Hanssmann, Heinz 8 2004 Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach. Zbl 1049.34044 Broer, Henk; Hanßmann, Heinz; Jorba, Ángel; Villanueva, Jordi; Wagener, Florian 25 2003 On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials. Zbl 1037.34031 Ferrer, Sebastián; Hanßmann, Heinz; Palacián, Jesús; Yanguas, Patricia 21 2002 On the Hamiltonian Hopf bifurcations in the 3D Hénon-Heiles family. Zbl 1035.37038 Hanßmann, Heinz; van der Meer, Jan-Cees 14 2002 A degenerate bifurcation in the Hénon-Heiles family. Zbl 0999.70012 Hanßmann, Heinz; Sommer, Britta 11 2001 On the global dynamics of Kirchhoff’s equations: Rigid body models for underwater vehicles. Zbl 1015.37043 Hanßmann, Heinz; Holmes, Philip 1 2001 Singular reduction of axially symmetric perturbations of the isotropic harmonic oscillator. Zbl 0952.70017 Cushman, Richard; Ferrer, Sebastián; Hanßmann, Heinz 16 1999 Quasi-periodic motion of a rigid body under weak forces. Zbl 0970.70008 Hanßmann, Heinz 1 1999 The quasi-periodic centre-saddle bifurcation. Zbl 0936.37028 Hanßmann, Heinz 24 1998 The reversible umbilic bifurcation. Zbl 1194.37080 Hanßmann, Heinz 8 1998 Quasi-periodic motions of a rigid body. I: Quadratic Hamiltonians on the sphere with a distinguished parameter. Zbl 0935.70006 Hanßmann, Heinz 5 1997 all cited Publications top 5 cited Publications all top 5 Cited by 183 Authors 24 Hanßmann, Heinz 16 Broer, Henk W. 15 Xu, Junxiang 13 Si, Wen 12 Palacián, Jesús F. 11 Yanguas, Patricia 10 Pucacco, Giuseppe 10 Wang, Xiaocai 10 Zhang, Dongfeng 8 Si, Jianguo 7 Ferrer, Sebastián 7 Mazrooei-Sebdani, Reza 6 Sevryuk, Mikhail Borisovich 6 Vidal, Claudio 5 Efstathiou, Konstantinos 5 Hakimi, Elham 5 Marchesiello, Antonella 5 van der Meer, Jan-Cees 5 Yi, Yingfei 4 Gentile, Guido 4 Lanchares, Víctor 4 Pascual, Ana Isabel 4 Salas, José Pablo 4 Simó, Carles 4 Vera, Juan A. 4 Vidarte, Jhon 3 Andrade, Jaime 3 Crespo, Francisco 3 Dullin, Holger R. 3 Egea, Jose A. 3 García Guirao, Juan Luis 3 Guan, Xinyu 3 Iñarrea, Manuel 3 Llibre, Jaume 3 Sultanov, Oskar A. 3 Wagener, Florian 3 Xu, Lu 2 Bäcker, Arnd 2 Bhosale, Yashraj 2 Cao, Xiaofei 2 Celletti, Alessandra 2 Ciocci, Maria-Cristina 2 Corsi, Livia 2 Cushman, Richard H. 2 Fassò, Francesco 2 Gazzola, Mattia 2 Geng, Zhiyong 2 Haro, Àlex 2 Jing, Tianqi 2 Ketzmerick, Roland 2 Kong, Yuedong 2 Kudryavtseva, Elena A. 2 Lange, Steffen 2 Ollé, Mercè 2 Onken, Franziska 2 Pacha, Juan Ramon 2 Paita, Fabrizio 2 Parthasarathy, Tejaswin 2 Rom-Kedar, Vered 2 Rui, Jie 2 Sadovskií, Dmitrií A. 2 Sarlette, Alain 2 Verhulst, Ferdinand 2 Vieiro, Arturo 2 Wu, Fan 2 Wu, Hao 2 You, Jiangong 2 Zhilinskií, Boris I. 2 Zhou, Xing 1 Alberti, Angelo 1 Alomair, Reem 1 Anisiu, Mira-Cristiana 1 Arribas, Mercedes 1 Avendaño-Camacho, Misael 1 Barrio, Roberto 1 Bartuccelli, Michele V. 1 Bates, Larry M. 1 Boatto, Stefanella 1 Borisov, Alekseĭ Vladimirovich 1 Bosschaert, Maikel M. 1 Buono, Pietro-Luciano 1 Burylko, Oleksandr 1 Buzzi, Claudio Aguinaldo 1 Carrasco, Dante 1 Cavallari, Irene 1 Chan, Bernard S. 1 Chan, Fan Kiat 1 Chiscop, Irina 1 Christov, Ognyan 1 Corbera, Montserrat 1 Das, Suddhasattwa 1 Dawson, Sean R. 1 de la Llave, Rafael 1 Deane, Jonathan H. B. 1 Diacu, Florin Nicolae 1 Díaz-Toca, Gema María 1 Elipe, Antonio 1 Espejo, D. E. 1 Farrés, Ariadna 1 Féjoz, Jacques ...and 83 more Authors all top 5 Cited in 54 Serials 15 Journal of Differential Equations 15 Regular and Chaotic Dynamics 14 Physica D 9 Indagationes Mathematicae. New Series 8 Nonlinearity 8 Acta Applicandae Mathematicae 7 Celestial Mechanics and Dynamical Astronomy 7 Chaos 6 Journal of Mathematical Physics 5 Journal of Dynamics and Differential Equations 5 Journal of Nonlinear Science 5 Discrete and Continuous Dynamical Systems 5 Dynamical Systems 4 Qualitative Theory of Dynamical Systems 4 SIAM Journal on Applied Dynamical Systems 3 Journal of Mathematical Analysis and Applications 3 Journal of Geometry and Physics 3 Ergodic Theory and Dynamical Systems 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 2 Communications in Mathematical Physics 2 Journal of Fluid Mechanics 2 Chaos, Solitons and Fractals 2 Journal of Mathematical Sciences (New York) 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Acta Mechanica Sinica 1 Physics Reports 1 Reviews in Mathematical Physics 1 Applied Mathematics and Computation 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Russian Journal of Mathematical Physics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Advanced Nonlinear Studies 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Inverse Problems in Science and Engineering 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Geometric Mechanics 1 Symmetry 1 European Journal of Mathematics 1 Applied Mathematics and Nonlinear Sciences 1 Mathematics in Engineering all top 5 Cited in 21 Fields 139 Dynamical systems and ergodic theory (37-XX) 106 Mechanics of particles and systems (70-XX) 38 Ordinary differential equations (34-XX) 9 Quantum theory (81-XX) 6 Differential geometry (53-XX) 5 Partial differential equations (35-XX) 5 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 3 Astronomy and astrophysics (85-XX) 2 Real functions (26-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year