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458 Publications


2011 | Journal Article | LibreCat-ID: 16639
Meyer, A., M. Dellnitz, and M. Hessel-von Molo. “Symmetries in Timed Continuous Petri Nets.” Nonlinear Analysis: Hybrid Systems, 2011, 125–35. https://doi.org/10.1016/j.nahs.2010.05.005.
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2011 | Journal Article | LibreCat-ID: 17034
Hage-Packhäuser, Sebastian, and Michael Dellnitz. “Stabilization via Symmetry Switching in Hybrid Dynamical Systems.” Discrete & Continuous Dynamical Systems - B 16, no. 1 (2011): 239–63. https://doi.org/10.3934/dcdsb.2011.16.239.
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2011 | Conference Paper | LibreCat-ID: 29457
Ober-Blöbaum, Sina. “Discrete Mechanics and Optimal Control: Structure Preserving Integration for the Optimal Control of Mechanical Systems.” In Proceedings of Oberwolfach Reports “‘Geometric Numerical Integration,’” 2011.
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2011 | Conference Paper | LibreCat-ID: 29455
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration for Constrained Systems.” In Proceedings of Oberwolfach Reports “‘Applied Dynamics and Geometric Mechanics,’” 2011.
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2011 | Journal Article | LibreCat-ID: 29410
Ober-Blöbaum, Sina, O. Junge, and J. E. Marsden. “Discrete Mechanics and Optimal Control: An Analysis.” Control, Optimisation and Calculus of Variations 17(2) (2011): 322–52.
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2011 | Conference Paper | LibreCat-ID: 29456
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration for Constrained Systems.” In Paul Fisette and Jean-Claude Samin, Editors, ECCOMAS Thematic Conference: Multibody Dynamics: Computational Methods and Applications, 2011.
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2011 | Conference Paper | LibreCat-ID: 29458
Flaßkamp, K., Sina Ober-Blöbaum, M. Ringkamp, T. Schneider, C. Schulte, and J. Böcker. “Berechnung Optimaler Stromprofile Für Einen 6-Phasigen, Geschalteten Reluktanzantrieb.” In 8. Paderborner Workshop Entwurf Mechatronischer Systeme. Paderborn, Germany: Heinz Nixdorf Institut Verlagsschriftreihe, 2011.
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2011 | Conference Paper | LibreCat-ID: 29493
Leyendecker, S., and Sina Ober-Blöbaum. “Variational Multirate Integration of Constrained Dynamics.” In Proceedings of Applied Mathematics and Mechanics, 11(1):53–54, 2011.
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2011 | Conference Paper | LibreCat-ID: 29494
Ober-Blöbaum, Sina, M. Tao, and H. Owhadi. “Variational Integrators for Electric Circuits.” In Proceedings of Applied Mathematics and Mechanics, 11(1):783–84, 2011.
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2011 | Conference Paper | LibreCat-ID: 29464
Moore, A., Sina Ober-Blöbaum, and J.E. Marsden. “Mesh Refinement Strategies for Spacecraft Trajectory Optimization Using Discrete Mechanics and Optimal Control.” In 21st AAS/AIAA Space Flight Mechanics Meeting, 2011.
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2011 | Journal Article | LibreCat-ID: 34885
Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” International Mathematics Research Notices 2011, no. 16 (2011): 3618–56. https://doi.org/10.1093/imrn/rnq223.
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2011 | Journal Article | LibreCat-ID: 34846
Hoeij, Mark van, Jürgen Klüners, and Andrew Novocin. “Generating Subfields.” Journal of Symbolic Computation 52 (2011): 17–34. https://doi.org/10.1016/j.jsc.2012.05.010.
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2011 | Journal Article | LibreCat-ID: 42798
Kirschmer, Markus. “Finite Symplectic Matrix Groups.” Experimental Mathematics 20, no. 2 (2011): 217–28. https://doi.org/10.1080/10586458.2011.564964.
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2011 | Journal Article | LibreCat-ID: 45932
Kovács, Balázs. “A Comparison of Some Efficient Numerical Methods for a Nonlinear Elliptic Problem.” Central European Journal of Mathematics 10, no. 1 (2011): 217–30. https://doi.org/10.2478/s11533-011-0071-6.
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2010 | Book Chapter | LibreCat-ID: 16575
Dellnitz, Michael, Kathrin Padberg, Robert Preis, and Bianca Thiere. “Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem.” In Nonlinear Science and Complexity. Dordrecht, 2010. https://doi.org/10.1007/978-90-481-9884-9_12.
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2010 | Journal Article | LibreCat-ID: 16590
Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Marin Kobilarov. “Solving Optimal Control Problems by Using Inherent Dynamical Properties.” PAMM, 2010, 577–78. https://doi.org/10.1002/pamm.201010281.
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2010 | Journal Article | LibreCat-ID: 16673
Tantardini, Marco, Elena Fantino, Yuan Ren, Pierpaolo Pergola, Gerard Gómez, and Josep J. Masdemont. “Spacecraft Trajectories to the L3 Point of the Sun–Earth Three-Body Problem.” Celestial Mechanics and Dynamical Astronomy, 2010, 215–32. https://doi.org/10.1007/s10569-010-9299-x.
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2010 | Conference Paper | LibreCat-ID: 16675
Thiere, Bianca, Sina Ober-Blöbaum, and Pierpaolo Pergola. “Detecting Initial Guesses for Trajectories in the (P)CRTBP.” In AIAA/AAS Astrodynamics Specialist Conference, 2010. https://doi.org/10.2514/6.2010-7962.
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2010 | Journal Article | LibreCat-ID: 29411
Leyendecker, S. , Sina Ober-Blöbaum, J. E. Marsden, and M. Ortiz. “Discrete Mechanics and Optimal Control for Constrained Systems.” Optimal Control, Applications and Methods 31(6) (2010): 505–28.
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2010 | Conference Paper | LibreCat-ID: 29468
Moore, A., Sina Ober-Blöbaum, and J.E. Marsden. “The Effect of Mesh Refinement on Spacecraft Trajectory Design Using Descrete Mechanics and Optimal Control.” In 4th European Conference on Computational Mechanics , 2010.
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2010 | Conference Paper | LibreCat-ID: 29467
Thiere, B., Sina Ober-Blöbaum, and P. Pergola. “Detecting Initial Guesses for Trajectories in the (P)CRTBP.” In AIAA/AAS Astrodynamics Specialist Conference, 2010.
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2010 | Conference Paper | LibreCat-ID: 29496
Ober-Blöbaum, Sina, and A. Walther. “Computation of Derivatives for Structure Preserving Optimal Control Using Automatic Differentiation.” In Proceedings of Applied Mathematics and Mechanics, 10(1):585–86, 2010.
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2010 | Conference Paper | LibreCat-ID: 29495
Flaßkamp, K., Sina Ober-Blöbaum, and M. Kobilarov. “Solving Optimal Control Problems by Using Inherent Dynamical Properties.” In Proceedings of Applied Mathematics and Mechanics, 10(1):577–78, 2010.
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2010 | Journal Article | LibreCat-ID: 34886
Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” Annals of Mathematics 172, no. 3 (2010): 2035–2104. https://doi.org/10.4007/annals.2010.172.2035.
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2010 | Journal Article | LibreCat-ID: 34888
Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the Continued Fraction of d.” Proceedings of the London Mathematical Society 101, no. 2 (2010): 337–91. https://doi.org/10.1112/plms/pdp057.
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2010 | Journal Article | LibreCat-ID: 34887
Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.” Algebra & Number Theory 4, no. 5 (2010): 493–508. https://doi.org/10.2140/ant.2010.4.493.
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2010 | Journal Article | LibreCat-ID: 42803
Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes for Quaternion Orders.” SIAM Journal on Computing 39, no. 5 (2010): 1714–47. https://doi.org/10.1137/080734467.
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2009 | Journal Article | LibreCat-ID: 16499
Biasco, Luca, and Laura Di Gregorio. “A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation.” Archive for Rational Mechanics and Analysis, 2009, 303–62. https://doi.org/10.1007/s00205-009-0240-y.
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2009 | Conference Paper | LibreCat-ID: 16524
Blesken, Matthias, Ulrich Ruckert, Dominik Steenken, Katrin Witting, and Michael Dellnitz. “Multiobjective Optimization for Transistor Sizing of CMOS Logic Standard Cells Using Set-Oriented Numerical Techniques.” In 2009 NORCHIP, 2009. https://doi.org/10.1109/norchp.2009.5397800.
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2009 | Journal Article | LibreCat-ID: 16545
Dellnitz, M., and K. Witting. “Computation of Robust Pareto Points.” International Journal of Computing Science and Mathematics, 2009. https://doi.org/10.1504/ijcsm.2009.027876.
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2009 | Journal Article | LibreCat-ID: 16572
Dellnitz, Michael, Gary Froyland, Christian Horenkamp, and Kathrin Padberg. “On the Approximation of Transport Phenomena - a Dynamical Systems Approach.” GAMM-Mitteilungen, 2009, 47–60. https://doi.org/10.1002/gamm.200910004.
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2009 | Journal Article | LibreCat-ID: 16573
Dellnitz, M., G. Froyland, C. Horenkamp, K. Padberg-Gehle, and A. Sen Gupta. “Seasonal Variability of the Subpolar Gyres in the Southern Ocean: A Numerical Investigation Based on Transfer Operators.” Nonlinear Processes in Geophysics, 2009, 655–63. https://doi.org/10.5194/npg-16-655-2009.
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2009 | Journal Article | LibreCat-ID: 16574
Dellnitz, Michael, Sina Ober-Blöbaum, Marcus Post, Oliver Schütze, and Bianca Thiere. “A Multi-Objective Approach to the Design of Low Thrust Space Trajectories Using Optimal Control.” Celestial Mechanics and Dynamical Astronomy, 2009, 33–59. https://doi.org/10.1007/s10569-009-9229-y.
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2009 | Journal Article | LibreCat-ID: 16636
Meyer, A., and M. Dellnitz. “Symmetries in Timed Continuous Petri Nets.” IFAC Proceedings Volumes, 2009, 68–73. https://doi.org/10.3182/20090916-3-es-3003.00013.
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2009 | Journal Article | LibreCat-ID: 16649
Padberg, Kathrin, Bianca Thiere, Robert Preis, and Michael Dellnitz. “Local Expansion Concepts for Detecting Transport Barriers in Dynamical Systems.” Communications in Nonlinear Science and Numerical Simulation, 2009, 4176–90. https://doi.org/10.1016/j.cnsns.2009.03.018.
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2009 | Conference Paper | LibreCat-ID: 16661
Romaus, C., J. Bocker, K. Witting, A. Seifried, and O. Znamenshchykov. “Optimal Energy Management for a Hybrid Energy Storage System Combining Batteries and Double Layer Capacitors.” In 2009 IEEE Energy Conversion Congress and Exposition, 2009. https://doi.org/10.1109/ecce.2009.5316428.
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2009 | Conference Paper | LibreCat-ID: 16663
Schneider, T., B. Schulz, C. Henke, K. Witting, D. Steenken, and J. Bocker. “Energy Transfer via Linear Doubly-Fed Motor in Different Operating Modes.” In 2009 IEEE International Electric Machines and Drives Conference, 2009. https://doi.org/10.1109/iemdc.2009.5075267.
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2009 | Journal Article | LibreCat-ID: 16669
Schütze, Oliver, Massimiliano Vasile, Oliver Junge, Michael Dellnitz, and Dario Izzo. “Designing Optimal Low-Thrust Gravity-Assist Trajectories Using Space Pruning and a Multi-Objective Approach.” Engineering Optimization, 2009, 155–81. https://doi.org/10.1080/03052150802391734.
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2009 | Conference Paper | LibreCat-ID: 16695
Wang, Fang, and Michael Dellnitz. “Multi-Objective Shape Optimization for Piezoceramics.” In 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009. https://doi.org/10.1109/spawda.2008.4775823.
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2009 | Journal Article | LibreCat-ID: 29412
Dellnitz, M., Sina Ober-Blöbaum, M. Post, O. Schütze, and B. Thiere. “A Multi-Objective Approach to the Design of Low Thrust Space Trajectories Using Optimal Control.” Celestial Mechanics and Dynamical Astronomy 105 (2009): 33–59.
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2009 | Conference Paper | LibreCat-ID: 29470
Nair, S., Sina Ober-Blöbaum, and J.E. Marsden. “The Jacobi-Maupertuis Principle in Variational Integrators.” In 7th International Conference of Numerical Analysis and Applied Mathematics, 464–66, 2009.
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2009 | Conference Paper | LibreCat-ID: 29471
Gehler, M., Sina Ober-Blöbaum, and B. Dachwald. “Application of Discrete Mechanics and Optimal Control to Spacecraft in Non-Keplerian Motion around Small Solar Systems.” In Procceedings of the 60th International Astronautical Congress, 2009.
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2009 | Conference Paper | LibreCat-ID: 29473
Moore, A., Sina Ober-Blöbaum, and J.E. Marsden. “Optimization of Spacecraft Trajectories: A Method Combining Invariant Manifold Techniques and Descrete Mechanics and Optimal .” In 19th AAS/AIAA Space Flight Mechanics Meeting, 2009.
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2009 | Conference Paper | LibreCat-ID: 29472
Gehler, M., Sina Ober-Blöbaum, B. Dachwald, and J.E. Marsden. “Optimal Control of Gravity Tractor Spacecraft near Arbitrarily Shaped Asteroids.” In 1st IAA Planetary Defense Conference: Protecting Earth from Asteroids, 2009.
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2009 | Journal Article | LibreCat-ID: 34889
Belabas, Karim, Mark van Hoeij, Jürgen Klüners, and Allan Steel. “Factoring Polynomials over Global Fields.” Journal de Théorie Des Nombres de Bordeaux 21, no. 1 (2009): 15–39. https://doi.org/10.5802/jtnb.655.
LibreCat | DOI | arXiv
 

2009 | Book Chapter | LibreCat-ID: 35959
Klüners, Jürgen. “The van Hoeij Algorithm for Factoring Polynomials.” In The LLL Algorithm. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. https://doi.org/10.1007/978-3-642-02295-1_8.
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2009 | Dissertation | LibreCat-ID: 43453
Kirschmer, Markus. Finite Symplectic Matrix Groups (Dissertation). RWTH Aachen University, 2009.
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2008 | Journal Article | LibreCat-ID: 16610
Geisler, M.Sc. Jens, Dipl.-Math. Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-Bound Vehicle.” IFAC Proceedings Volumes, 2008, 4380–86. https://doi.org/10.3182/20080706-5-kr-1001.00738.
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2008 | Conference Paper | LibreCat-ID: 16623
Klöpper, Benjamin, Herbert Podlogar, Jürgen Gausemeier, and Katrin Witting. “Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems.” In 2008 19th International Conference on Database and Expert Systems Applications, 2008. https://doi.org/10.1109/dexa.2008.111.
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2008 | Journal Article | LibreCat-ID: 16667
Schütze, Oliver, Carlos A. Coello Coello, Sanaz Mostaghim, El-Ghazali Talbi, and Michael Dellnitz. “Hybridizing Evolutionary Strategies with Continuation Methods for Solving Multi-Objective Problems.” Engineering Optimization, 2008, 383–402. https://doi.org/10.1080/03052150701821328.
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