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Author ID: hanssmann.heinz Recent zbMATH articles by "Hanßmann, Heinz"
Published as: Hanßmann, Heinz; Hanssmann, Heinz; Hanßmann, H.

Publications by Year

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 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

Citations by Year