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458 Publications
2012 | Journal Article | LibreCat-ID: 16635
Discontinuity Induced Bifurcations in Timed Continuous Petri Nets
A. Meyer, IFAC Proceedings Volumes (2012) 28–33.
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| DOI
A. Meyer, IFAC Proceedings Volumes (2012) 28–33.
2012 | Journal Article | LibreCat-ID: 16638
Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics
A. Meyer, M. Silva, IFAC Proceedings Volumes (2012) 153–159.
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| DOI
A. Meyer, M. Silva, IFAC Proceedings Volumes (2012) 153–159.
2012 | Journal Article | LibreCat-ID: 16659
Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, O. Schütze, Engineering Optimization (2012) 1117–1146.
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| DOI
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, O. Schütze, Engineering Optimization (2012) 1117–1146.
2012 | Book Chapter | LibreCat-ID: 16681
Multilevel Subdivision Techniques for Scalar Optimization Problems
M. Dellnitz, O. Schütze, in: Global Analysis of Nonlinear Dynamics, New York, NY, 2012.
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M. Dellnitz, O. Schütze, in: Global Analysis of Nonlinear Dynamics, New York, NY, 2012.
2012 | Journal Article | LibreCat-ID: 16696
Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario
A. Zanzottera, G. Mingotti, R. Castelli, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2012) 832–843.
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| DOI
A. Zanzottera, G. Mingotti, R. Castelli, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2012) 832–843.
2012 | Book Chapter | LibreCat-ID: 17035
Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway
M. Dellnitz, F. Dignath, K. Flaßkamp, M.H. Molo, M. Krüger, R. Timmermann, Q. Zheng, in: Mathematics in Industry, Berlin, Heidelberg, 2012.
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M. Dellnitz, F. Dignath, K. Flaßkamp, M.H. Molo, M. Krüger, R. Timmermann, Q. Zheng, in: Mathematics in Industry, Berlin, Heidelberg, 2012.
2012 | Journal Article | LibreCat-ID: 10171
Nearly nowhere-zero r-flow graphs
E. Steffen, Discrete Mathematics 312 (2012) 2757–2759.
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E. Steffen, Discrete Mathematics 312 (2012) 2757–2759.
2012 | Conference Paper | LibreCat-ID: 29452
Solving multiobjective optimal control problems in space mission design using discrete mechanics and reference point techniques
S. Ober-Blöbaum, M. Ringkamp, G. zum Felde, in: 51st IEEE International Conference on Decision and Control, 2012, pp. 5711–5716.
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S. Ober-Blöbaum, M. Ringkamp, G. zum Felde, in: 51st IEEE International Conference on Decision and Control, 2012, pp. 5711–5716.
2012 | Journal Article | LibreCat-ID: 29409
Handling high dimensional problems with multi-objective continuation methods via successive approximation of the tangent space
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, O. Schütze, Engineering Optimization 44(6) (2012) 1117–1146.
LibreCat
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, O. Schütze, Engineering Optimization 44(6) (2012) 1117–1146.
2012 | Journal Article | LibreCat-ID: 29407
Trajectory design combining invariant manifolds with discrete mechanics and optimal control
A. Moore, S. Ober-Blöbaum, J.E. Marsden, Journal of Guidance, Control, and Dynamics 35(5) (2012) 1507–1525.
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A. Moore, S. Ober-Blöbaum, J.E. Marsden, Journal of Guidance, Control, and Dynamics 35(5) (2012) 1507–1525.
2012 | Conference Paper | LibreCat-ID: 29451
Switching time optimization in discretized hybrid dynamical systems
K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: 51st IEEE International Conference on Decision and Control, 2012, pp. 707–712.
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K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: 51st IEEE International Conference on Decision and Control, 2012, pp. 707–712.
2012 | Conference Paper | LibreCat-ID: 29450
Motion planning for mechanical systems with hybrid dynamics
K. Flaßkamp, S. Ober-Blöbaum, in: Progress in Industrial Mathematics at ECMI 2012, Mathematics in Industry (To Appear), Springer, 2012.
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K. Flaßkamp, S. Ober-Blöbaum, in: Progress in Industrial Mathematics at ECMI 2012, Mathematics in Industry (To Appear), Springer, 2012.
2012 | Conference Paper | LibreCat-ID: 29453
Higher order variational time discretization of optimal control problems
C.M. Campos, O. Junge, S. Ober-Blöbaum, in: 20th International Symposium on Mathematical Theory of Networks and Systems, 2012.
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C.M. Campos, O. Junge, S. Ober-Blöbaum, in: 20th International Symposium on Mathematical Theory of Networks and Systems, 2012.
2012 | Conference Paper | LibreCat-ID: 29454
Energy efficient control for mechanical systems based on inherent dynamical structures
K. Flaßkamp, S. Ober-Blöbaum, in: American Control Conference, 2012, pp. 2609–2614.
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K. Flaßkamp, S. Ober-Blöbaum, in: American Control Conference, 2012, pp. 2609–2614.
2012 | Journal Article | LibreCat-ID: 34847
The Distribution of Number Fields with Wreath Products as Galois Groups
J. Klüners, International Journal of Number Theory 08 (2012) 845–858.
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| arXiv
J. Klüners, International Journal of Number Theory 08 (2012) 845–858.
2012 | Journal Article | LibreCat-ID: 42797
A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$
M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.
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| DOI
M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.
2012 | Journal Article | LibreCat-ID: 45933
Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation
J. Karátson, B. Kovács, Computers & Mathematics with Applications 65 (2012) 449–459.
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| DOI
J. Karátson, B. Kovács, Computers & Mathematics with Applications 65 (2012) 449–459.
2011 | Conference Paper | LibreCat-ID: 16588
Variational formulation and optimal control of hybrid lagrangian systems
K. Flaßkamp, S. Ober-Blöbaum, in: Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11, 2011.
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| DOI
K. Flaßkamp, S. Ober-Blöbaum, in: Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11, 2011.
2011 | Journal Article | LibreCat-ID: 16624
An efficient algorithm for the parallel solution of high-dimensional differential equations
S. Klus, T. Sahai, C. Liu, M. Dellnitz, Journal of Computational and Applied Mathematics (2011) 3053–3062.
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| DOI
S. Klus, T. Sahai, C. Liu, M. Dellnitz, Journal of Computational and Applied Mathematics (2011) 3053–3062.
2011 | Journal Article | LibreCat-ID: 16629
Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*
M. Krüger, K. Witting, A. Trächtler, M. Dellnitz, IFAC Proceedings Volumes (2011) 12611–12619.
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| DOI
M. Krüger, K. Witting, A. Trächtler, M. Dellnitz, IFAC Proceedings Volumes (2011) 12611–12619.
2011 | Journal Article | LibreCat-ID: 16639
Symmetries in timed continuous Petri nets
A. Meyer, M. Dellnitz, M. Hessel-von Molo, Nonlinear Analysis: Hybrid Systems (2011) 125–135.
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| DOI
A. Meyer, M. Dellnitz, M. Hessel-von Molo, Nonlinear Analysis: Hybrid Systems (2011) 125–135.
2011 | Journal Article | LibreCat-ID: 17034
Stabilization via symmetry switching in hybrid dynamical systems
S. Hage-Packhäuser, M. Dellnitz, Discrete & Continuous Dynamical Systems - B 16 (2011) 239–263.
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| DOI
S. Hage-Packhäuser, M. Dellnitz, Discrete & Continuous Dynamical Systems - B 16 (2011) 239–263.
2011 | Conference Paper | LibreCat-ID: 29457
Discrete mechanics and optimal control: Structure preserving integration for the optimal control of mechanical systems
S. Ober-Blöbaum, in: Proceedings of Oberwolfach Reports “‘Geometric Numerical Integration,’” 2011.
LibreCat
S. Ober-Blöbaum, in: Proceedings of Oberwolfach Reports “‘Geometric Numerical Integration,’” 2011.
2011 | Conference Paper | LibreCat-ID: 29455
A variational approach to multirate integration for constrained systems
S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Oberwolfach Reports “‘Applied Dynamics and Geometric Mechanics,’” 2011.
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S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Oberwolfach Reports “‘Applied Dynamics and Geometric Mechanics,’” 2011.
2011 | Journal Article | LibreCat-ID: 29410
Discrete mechanics and optimal control: an analysis
S. Ober-Blöbaum, O. Junge, J.E. Marsden, Control, Optimisation and Calculus of Variations 17(2) (2011) 322–352.
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S. Ober-Blöbaum, O. Junge, J.E. Marsden, Control, Optimisation and Calculus of Variations 17(2) (2011) 322–352.
2011 | Conference Paper | LibreCat-ID: 29456
A variational approach to multirate integration for constrained systems
S. Leyendecker, S. Ober-Blöbaum, in: Paul Fisette and Jean-Claude Samin, Editors, ECCOMAS Thematic Conference: Multibody Dynamics: Computational Methods and Applications, 2011.
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S. Leyendecker, S. Ober-Blöbaum, in: Paul Fisette and Jean-Claude Samin, Editors, ECCOMAS Thematic Conference: Multibody Dynamics: Computational Methods and Applications, 2011.
2011 | Conference Paper | LibreCat-ID: 29458
Berechnung optimaler Stromprofile für einen 6-phasigen, geschalteten Reluktanzantrieb
K. Flaßkamp, S. Ober-Blöbaum, M. Ringkamp, T. Schneider, C. Schulte, J. Böcker, in: 8. Paderborner Workshop Entwurf Mechatronischer Systeme, Heinz Nixdorf Institut Verlagsschriftreihe, Paderborn, Germany, 2011.
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K. Flaßkamp, S. Ober-Blöbaum, M. Ringkamp, T. Schneider, C. Schulte, J. Böcker, in: 8. Paderborner Workshop Entwurf Mechatronischer Systeme, Heinz Nixdorf Institut Verlagsschriftreihe, Paderborn, Germany, 2011.
2011 | Conference Paper | LibreCat-ID: 29493
Variational multirate integration of constrained dynamics
S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2011, pp. 53–54.
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S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2011, pp. 53–54.
2011 | Conference Paper | LibreCat-ID: 29494
Variational integrators for electric circuits
S. Ober-Blöbaum, M. Tao, H. Owhadi, in: Proceedings of Applied Mathematics and Mechanics, 2011, pp. 783–784.
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S. Ober-Blöbaum, M. Tao, H. Owhadi, in: Proceedings of Applied Mathematics and Mechanics, 2011, pp. 783–784.
2011 | Conference Paper | LibreCat-ID: 29464
Mesh refinement strategies for spacecraft trajectory optimization using discrete mechanics and optimal control
A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 21st AAS/AIAA Space Flight Mechanics Meeting, 2011.
LibreCat
A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 21st AAS/AIAA Space Flight Mechanics Meeting, 2011.
2011 | Journal Article | LibreCat-ID: 34885
Weighted Distribution of the 4-rank of Class Groups and Applications
É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.
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| DOI
É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.
2011 | Journal Article | LibreCat-ID: 34846
Generating subfields
M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52 (2011) 17–34.
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| DOI
M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52 (2011) 17–34.
2011 | Journal Article | LibreCat-ID: 42798
Finite Symplectic Matrix Groups
M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.
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| DOI
M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.
2011 | Journal Article | LibreCat-ID: 45932
A comparison of some efficient numerical methods for a nonlinear elliptic problem
B. Kovács, Central European Journal of Mathematics 10 (2011) 217–230.
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| DOI
B. Kovács, Central European Journal of Mathematics 10 (2011) 217–230.
2010 | Book Chapter | LibreCat-ID: 16575
Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem
M. Dellnitz, K. Padberg, R. Preis, B. Thiere, in: Nonlinear Science and Complexity, Dordrecht, 2010.
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| DOI
M. Dellnitz, K. Padberg, R. Preis, B. Thiere, in: Nonlinear Science and Complexity, Dordrecht, 2010.
2010 | Journal Article | LibreCat-ID: 16590
Solving optimal control problems by using inherent dynamical properties
K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, PAMM (2010) 577–578.
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| DOI
K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, PAMM (2010) 577–578.
2010 | Journal Article | LibreCat-ID: 16673
Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem
M. Tantardini, E. Fantino, Y. Ren, P. Pergola, G. Gómez, J.J. Masdemont, Celestial Mechanics and Dynamical Astronomy (2010) 215–232.
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| DOI
M. Tantardini, E. Fantino, Y. Ren, P. Pergola, G. Gómez, J.J. Masdemont, Celestial Mechanics and Dynamical Astronomy (2010) 215–232.
2010 | Conference Paper | LibreCat-ID: 16675
Detecting Initial Guesses for Trajectories in the (P)CRTBP
B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
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| DOI
B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
2010 | Journal Article | LibreCat-ID: 29411
Discrete mechanics and optimal control for constrained systems
S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, Optimal Control, Applications and Methods 31(6) (2010) 505–528.
LibreCat
S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, Optimal Control, Applications and Methods 31(6) (2010) 505–528.
2010 | Conference Paper | LibreCat-ID: 29468
The effect of mesh refinement on spacecraft trajectory design using descrete mechanics and optimal control
A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 4th European Conference on Computational Mechanics , 2010.
LibreCat
A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 4th European Conference on Computational Mechanics , 2010.
2010 | Conference Paper | LibreCat-ID: 29467
Detecting initial guesses for trajectories in the (P)CRTBP
B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
LibreCat
B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
2010 | Conference Paper | LibreCat-ID: 29496
Computation of derivatives for structure preserving optimal control using automatic differentiation
S. Ober-Blöbaum, A. Walther, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 585–586.
LibreCat
S. Ober-Blöbaum, A. Walther, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 585–586.
2010 | Conference Paper | LibreCat-ID: 29495
Solving optimal control problems by using inherent dynamical properties
K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 577–578.
LibreCat
K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 577–578.
2010 | Journal Article | LibreCat-ID: 34886
On the negative Pell equation
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
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| DOI
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
2010 | Journal Article | LibreCat-ID: 34888
The parity of the period of the continued fraction of d
É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.
LibreCat
| Files available
| DOI
É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.
2010 | Journal Article | LibreCat-ID: 34887
On the Spiegelungssatz for the 4-rank
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
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| DOI
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
2010 | Journal Article | LibreCat-ID: 42803
Algorithmic Enumeration of Ideal Classes for Quaternion Orders
M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
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| DOI
M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
2009 | Journal Article | LibreCat-ID: 16499
A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation
L. Biasco, L. Di Gregorio, Archive for Rational Mechanics and Analysis (2009) 303–362.
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| DOI
L. Biasco, L. Di Gregorio, Archive for Rational Mechanics and Analysis (2009) 303–362.
2009 | Conference Paper | LibreCat-ID: 16524
Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques
M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP, 2009.
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| DOI
M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP, 2009.
2009 | Journal Article | LibreCat-ID: 16545
Computation of robust Pareto points
M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics (2009).
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| DOI
M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics (2009).