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361 Publications


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 | Conference Paper | LibreCat-ID: 29469
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration.” In 4th European Conference on Computational Mechanics , 2010.
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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 | 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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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 | 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 | 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 | 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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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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2008 | Journal Article | LibreCat-ID: 16668
Schütze, Oliver, Marco Laumanns, Carlos A. Coello Coello, Michael Dellnitz, and El-Ghazali Talbi. “Convergence of Stochastic Search Algorithms to Finite Size Pareto Set Approximations.” Journal of Global Optimization, 2008, 559–77. https://doi.org/10.1007/s10898-007-9265-7.
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2008 | Journal Article | LibreCat-ID: 16678
Witting, Katrin, Bernd Schulz, Michael Dellnitz, Joachim Böcker, and Norbert Fröhleke. “A New Approach for Online Multiobjective Optimization of Mechatronic Systems.” International Journal on Software Tools for Technology Transfer, 2008, 223–31. https://doi.org/10.1007/s10009-008-0066-1.
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2008 | Conference Paper | LibreCat-ID: 17031
Geisler, Jens, Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Self-Optimization of the Guidance Module of a Rail-Bound Vehicle.” In 7th International Heinz Nixdorf Symposium: Self-Optimizing Mechatronic Systems: Designing the Future, 2008.
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2008 | Conference Paper | LibreCat-ID: 29474
Zhang, W., T. Inanc, Sina Ober-Blöbaum, and J.E. Marsden. “Optimal Trajectory Generation for a Dynamic Glider in Ocean Flows Modeled by 3d B-Spline Functions.” In IEEE International Conference on Robotics and Automation, 2008.
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2007 | Conference Paper | LibreCat-ID: 16561
Dellnitz, Michael, Kathrin Padberg, Marcus Post, and Bianca Thiere. “Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems.” In AIP Conference Proceedings, 2007. https://doi.org/10.1063/1.2710046.
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2007 | Journal Article | LibreCat-ID: 16602
Froyland, Gary, Kathrin Padberg, Matthew H. England, and Anne Marie Treguier. “Detection of Coherent Oceanic Structures via Transfer Operators.” Physical Review Letters, 2007. https://doi.org/10.1103/physrevlett.98.224503.
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2007 | Journal Article | LibreCat-ID: 16612
Grüne, L., and O. Junge. “Global Optimal Control of Perturbed Systems.” Journal of Optimization Theory and Applications, 2007, 411–29. https://doi.org/10.1007/s10957-007-9312-z.
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2007 | Conference Paper | LibreCat-ID: 16630
Leyendecker, Sigrid, Sina Ober-Blöbaum, Jerrold E. Marsden, and Michael Ortiz. “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics.” In Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007. https://doi.org/10.1115/detc2007-34574.
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2007 | Book Chapter | LibreCat-ID: 16640
Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” In Mathematical Foundations of Computer Science 2001. Berlin, Heidelberg, 2007. https://doi.org/10.1007/3-540-44683-4_46.
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2007 | Journal Article | LibreCat-ID: 16648
Padberg, Kathrin, Thilo Hauff, Frank Jenko, and Oliver Junge. “Lagrangian Structures and Transport in Turbulent Magnetized Plasmas.” New Journal of Physics, 2007, 400–400. https://doi.org/10.1088/1367-2630/9/11/400.
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2007 | Book Chapter | LibreCat-ID: 16658
Preis, Robert, Burkhard Monien, and Stefan Schamberger. “Approximation Algorithms for Multilevel Graph Partitioning.” In Handbook of Approximation Algorithms and Metaheuristics, 2007. https://doi.org/10.1201/9781420010749.ch60.
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2007 | Conference Paper | LibreCat-ID: 16666
Schütze, Oliver, El-ghazali Talbi, Gregorio Toscano Pulido, Carlos Coello Coello, and Luis Vicente Santana-Quintero. “A Memetic PSO Algorithm for Scalar Optimization Problems.” In 2007 IEEE Swarm Intelligence Symposium, 2007. https://doi.org/10.1109/sis.2007.368036.
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2007 | Report | LibreCat-ID: 17028
Vasile, Massimiliano, Oliver Schütze, Oliver Junge, Gimbardo Radice, and Michael Dellnitz. Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers. European Space Agency, 2007.
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2006 | Conference Paper | LibreCat-ID: 16528
Dell’Aere, Alessandro. “Multi-Objective Optimization in Self-Optimizing Systems.” In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006. https://doi.org/10.1109/iecon.2006.348080.
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2006 | Book Chapter | LibreCat-ID: 16539
Dellnitz, Michael, and Oliver Junge. “Set Oriented Numerical Methods in Space Mission Design.” In Elsevier Astrodynamics Series, 2006. https://doi.org/10.1016/s1874-9305(07)80007-0.
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2006 | Book Chapter | LibreCat-ID: 16559
Dellnitz, Michael, Mirko Hessel-von Molo, Philipp Metzner, Robert Preis, and Christof Schütte. “Graph Algorithms for Dynamical Systems.” In Analysis, Modeling and Simulation of Multiscale Problems, 2006. https://doi.org/10.1007/3-540-35657-6_23.
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2006 | Journal Article | LibreCat-ID: 16560
Dellnitz, Michael, Oliver Junge, Marcus Post, and Bianca Thiere. “On Target for Venus – Set Oriented Computation of Energy Efficient Low Thrust Trajectories.” Celestial Mechanics and Dynamical Astronomy, 2006, 357–70. https://doi.org/10.1007/s10569-006-9008-y.
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2006 | Conference Paper | LibreCat-ID: 16618
Junge, O., and S. Ober-Blobaum. “Optimal Reconfiguration of Formation Flying Satellites.” In Proceedings of the 44th IEEE Conference on Decision and Control, 2006. https://doi.org/10.1109/cdc.2005.1582132.
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2006 | Conference Paper | LibreCat-ID: 16621
Junge, O., J.E. Marsden, and S. Ober-Blobaum. “Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach.” In Proceedings of the 45th IEEE Conference on Decision and Control, 2006. https://doi.org/10.1109/cdc.2006.376977.
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2006 | Conference Paper | LibreCat-ID: 16626
Knoke, Tobias, Christoph Romaus, Joachim Bocker, Alessandro Dell’Aere, and Katrin Witting. “Energy Management for an Onboard Storage System Based on Multi-Objective Optimization.” In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006. https://doi.org/10.1109/iecon.2006.347705.
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2006 | Journal Article | LibreCat-ID: 16632
Mehta, Prashant G., Mirko Hessel-von Molo, and Michael Dellnitz. “Symmetry of Attractors and the Perron-Frobenius Operator.” Journal of Difference Equations and Applications, 2006, 1147–78. https://doi.org/10.1080/10236190601045788.
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2006 | Journal Article | LibreCat-ID: 16641
Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” Journal of Discrete Algorithms, 2006, 475–98. https://doi.org/10.1016/j.jda.2005.12.009.
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2006 | Journal Article | LibreCat-ID: 16671
Sertl, Stefan, and Michael Dellnitz. “Global Optimization Using a Dynamical Systems Approach.” Journal of Global Optimization, 2006, 569–87. https://doi.org/10.1007/s10898-005-4384-5.
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2006 | Journal Article | LibreCat-ID: 16674
Thiere, B. “Return Time Dynamics as a Tool for Finding Almost Invariant Sets.” Annals of the New York Academy of Sciences, 2006, 44–54. https://doi.org/10.1196/annals.1370.027.
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2006 | Conference Paper | LibreCat-ID: 29488
Junge, O., J.E. Marsden, and Sina Ober-Blöbaum. “Optimal Reconfiguration of Formation Flying Spacecraft - a Decentralized Approach.” In 45th IEEE Conference on Decision and Control, 5210–15, 2006.
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2006 | Book Chapter | LibreCat-ID: 20056
Dellnitz, M., O. Junge, A. Krishnamurthy, Sina Ober-Blöbaum, K. Padberg, and R. Preis. “Efficient Control of Formation Flying Spacecraft.” In Friedhelm Meyer Auf Der Heide and Burkhard Monien, Editors, New Trends in Parallel & Distributed Computing, 181:235–47. Heinz Nixdorf Institut Verlagsschriftreihe, 2006.
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2005 | Conference Paper | LibreCat-ID: 16525
Day, Sarah, Oliver Junge, and Konstantin Mischaikow. “Towards Automated Chaos Verification.” In EQUADIFF 2003, 2005. https://doi.org/10.1142/9789812702067_0014.
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2005 | Journal Article | LibreCat-ID: 16557
Dellnitz, Michael, Oliver Junge, Wang Sang Koon, Francois Lekien, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport in Dynamical Astronomy and Multibody Problems.” International Journal of Bifurcation and Chaos, 2005, 699–727. https://doi.org/10.1142/s0218127405012545.
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2005 | Journal Article | LibreCat-ID: 16558
Dellnitz, Michael, Oliver Junge, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region.” Physical Review Letters, 2005. https://doi.org/10.1103/physrevlett.94.231102.
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2005 | Journal Article | LibreCat-ID: 16613
Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback Stabilization.” Systems & Control Letters, 2005, 169–80. https://doi.org/10.1016/j.sysconle.2004.08.005.
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2005 | Journal Article | LibreCat-ID: 16627
Krauskopf, B., H. M. Osinga, E. J. Doedel, M. E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, and O. Junge. “A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields.” International Journal of Bifurcation and Chaos, 2005, 763–91. https://doi.org/10.1142/s0218127405012533.
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2005 | Conference Paper | LibreCat-ID: 16628
Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor Network in Space.” In 19th IEEE International Parallel and Distributed Processing Symposium, 2005. https://doi.org/10.1109/ipdps.2005.387.
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2005 | Conference Paper | LibreCat-ID: 16631
Li, R., A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O. Znamenshchykov, and R. Feldmann. “Design and Implementation of a Hybrid Energy Supply System for Railway Vehicles.” In Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005., 2005. https://doi.org/10.1109/apec.2005.1452979.
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2005 | Journal Article | LibreCat-ID: 16684
Dellnitz, M., O. Sch�tze, and T. Hestermeyer. “Covering Pareto Sets by Multilevel Subdivision Techniques.” Journal of Optimization Theory and Applications, 2005, 113–36. https://doi.org/10.1007/s10957-004-6468-7.
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2004 | Journal Article | LibreCat-ID: 16500
Chaudhuri, I., S. Sertl, Z. Hajnal, M. Dellnitz, and Th. Frauenheim. “Global Optimization of Silicon Nanoclusters.” Applied Surface Science, 2004, 108–13. https://doi.org/10.1016/j.apsusc.2003.11.007.
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2004 | Journal Article | LibreCat-ID: 16521
Bezrukov, S., R. Elsässer, B. Monien, R. Preis, and J.-P. Tillich. “New Spectral Lower Bounds on the Bisection Width of Graphs.” Theoretical Computer Science, 2004, 155–74. https://doi.org/10.1016/j.tcs.2004.03.059.
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2004 | Journal Article | LibreCat-ID: 16527
Day, S., O. Junge, and K. Mischaikow. “A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems.” SIAM Journal on Applied Dynamical Systems, 2004, 117–60. https://doi.org/10.1137/030600210.
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2004 | Journal Article | LibreCat-ID: 16587
Elsässer, Robert, Burkhard Monien, Robert Preis, and Andreas Frommer. “Optimal Diffusion Schemes and Load Balancing on Product Graphs.” Parallel Processing Letters, 2004, 61–73. https://doi.org/10.1142/s0129626404001714.
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2004 | Journal Article | LibreCat-ID: 16619
Junge, Oliver, and Hinke M. Osinga. “A Set Oriented Approach to Global Optimal Control.” ESAIM: Control, Optimisation and Calculus of Variations, 2004, 259–70. https://doi.org/10.1051/cocv:2004006.
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2004 | Conference Paper | LibreCat-ID: 16620
Junge, O., J.E. Marsden, and I. Mezic. “Uncertainty in the Dynamics of Conservative Maps.” In 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004. https://doi.org/10.1109/cdc.2004.1430379.
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2003 | Journal Article | LibreCat-ID: 16498
Aston, P. J., and M. Dellnitz. “Computation of the Dominant Lyapunov Exponent via Spatial Integration Using Matrix Norms.” Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2003, 2933–55. https://doi.org/10.1098/rspa.2003.1143.
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2003 | Book Chapter | LibreCat-ID: 16543
Dellnitz, Michael, and Robert Preis. “Congestion and Almost Invariant Sets in Dynamical Systems.” In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003. https://doi.org/10.1007/3-540-45084-x_8.
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2003 | Journal Article | LibreCat-ID: 16600
Froyland, Gary, and Michael Dellnitz. “Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles.” SIAM Journal on Scientific Computing, 2003, 1839–63. https://doi.org/10.1137/s106482750238911x.
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2003 | Book Chapter | LibreCat-ID: 16664
Schütze, Oliver. “A New Data Structure for the Nondominance Problem in Multi-Objective Optimization.” In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003. https://doi.org/10.1007/3-540-36970-8_36.
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2003 | Book Chapter | LibreCat-ID: 16665
Schütze, Oliver, Sanaz Mostaghim, Michael Dellnitz, and Jürgen Teich. “Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques.” In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003. https://doi.org/10.1007/3-540-36970-8_9.
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2002 | Book Chapter | LibreCat-ID: 16538
Dellnitz, Michael, and Oliver Junge. “Set Oriented Numerical Methods for Dynamical Systems.” In Handbook of Dynamical Systems, 2002. https://doi.org/10.1016/s1874-575x(02)80026-1.
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2002 | Journal Article | LibreCat-ID: 16556
Dellnitz, M. “Finding Zeros by Multilevel Subdivision Techniques.” IMA Journal of Numerical Analysis, 2002, 167–85. https://doi.org/10.1093/imanum/22.2.167.
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer, Robert, Burkhard Monien, and Robert Preis. “Diffusion Schemes for Load Balancing on Heterogeneous Networks.” Theory of Computing Systems, 2002, 305–20. https://doi.org/10.1007/s00224-002-1056-4.
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2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz, Michael, Gary Froyland, and Oliver Junge. “The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems.” In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg, 2001. https://doi.org/10.1007/978-3-642-56589-2_7.
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2001 | Book Chapter | LibreCat-ID: 16598
Froyland, Gary. “Extracting Dynamical Behavior via Markov Models.” In Nonlinear Dynamics and Statistics. Boston, MA, 2001. https://doi.org/10.1007/978-1-4612-0177-9_12.
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2001 | Journal Article | LibreCat-ID: 16601
Froyland, Gary, Oliver Junge, and Gunter Ochs. “Rigorous Computation of Topological Entropy with Respect to a Finite Partition.” Physica D: Nonlinear Phenomena, 2001, 68–84. https://doi.org/10.1016/s0167-2789(01)00216-0.
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2001 | Journal Article | LibreCat-ID: 16617
Junge, Oliver. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures: Proof of Convergence.” Dynamical Systems, 2001, 213–22. https://doi.org/10.1080/14689360109696233.
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2000 | Book Chapter | LibreCat-ID: 16513
Aston, P. J., and M. Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms.” In Equadiff 99, 2000. https://doi.org/10.1142/9789812792617_0196.
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2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator.” In Equadiff 99, 2000. https://doi.org/10.1142/9789812792617_0199.
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2000 | Journal Article | LibreCat-ID: 16554
Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “On the Isolated Spectrum of the Perron-Frobenius Operator.” Nonlinearity, 2000, 1171–88. https://doi.org/10.1088/0951-7715/13/4/310.
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2000 | Book Chapter | LibreCat-ID: 16616
Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” In Equadiff 99, 2000. https://doi.org/10.1142/9789812792617_0178.
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2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz, Michael, Oliver Junge, Martin Rumpf, and Robert Strzodka. “The Computation of an Unstable Invariant Set inside a Cylinder Containing a Knotted Flow.” In Equadiff 99, 1053--1059, 2000. https://doi.org/10.1142/9789812792617_0204.
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1999 | Journal Article | LibreCat-ID: 16511
Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration with Application to Blowout Bifurcations.” Computer Methods in Applied Mechanics and Engineering, 1999, 223–37. https://doi.org/10.1016/s0045-7825(98)00196-0.
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1999 | Journal Article | LibreCat-ID: 16537
Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical Behavior.” SIAM Journal on Numerical Analysis, 1999, 491–515. https://doi.org/10.1137/s0036142996313002.
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1999 | Book Chapter | LibreCat-ID: 16584
Deuflhard, Peter, Michael Dellnitz, Oliver Junge, and Christof Schütte. “Computation of Essential Molecular Dynamics by Subdivision Techniques.” In Computational Molecular Dynamics: Challenges, Methods, Ideas. Berlin, Heidelberg, 1999. https://doi.org/10.1007/978-3-642-58360-5_5.
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 17017
Bürkle, David, Michael Dellnitz, Oliver Junge, Martin Rumpf, and Michael Spielberg. “Visualizing Complicated Dynamics.” Proceedings of Visualization 99, 1999.
LibreCat
 

1998 | Journal Article | LibreCat-ID: 16536
Dellnitz, Michael, and Oliver Junge. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures.” Computing and Visualization in Science, 1998, 63–68. https://doi.org/10.1007/s007910050006.
LibreCat | DOI
 

1997 | Journal Article | LibreCat-ID: 16535
Dellnitz, Michael, and Oliver Junge. “Almost Invariant Sets in Chua’s Circuit.” International Journal of Bifurcation and Chaos, 1997, 2475–85. https://doi.org/10.1142/s0218127497001655.
LibreCat | DOI
 

1997 | Journal Article | LibreCat-ID: 16552
Dellnitz, Michael, Andreas Hohmann, Oliver Junge, and Martin Rumpf. “Exploring Invariant Sets and Invariant Measures.” Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997, 221–28. https://doi.org/10.1063/1.166223.
LibreCat | DOI
 

1997 | Journal Article | LibreCat-ID: 16614
Guder, Rabbijah, Michael Dellnitz, and Edwin Kreuzer. “An Adaptive Method for the Approximation of the Generalized Cell Mapping.” Chaos, Solitons & Fractals, 1997, 525–34. https://doi.org/10.1016/s0960-0779(96)00118-x.
LibreCat | DOI
 

1997 | Journal Article | LibreCat-ID: 17015
Dellnitz, Michael, and Andreas Hohmann. “A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors.” Numerische Mathematik 75 (1997): 293–317. https://doi.org/10.1007/s002110050240.
LibreCat | DOI
 

1996 | Book Chapter | LibreCat-ID: 16533
Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds Using Subdivision and Continuation.” In Nonlinear Dynamical Systems and Chaos. Basel, 1996. https://doi.org/10.1007/978-3-0348-7518-9_21.
LibreCat | DOI
 

1995 | Journal Article | LibreCat-ID: 16510
Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations of Chaotic Attractors.” International Journal of Bifurcation and Chaos, 1995, 1643–76. https://doi.org/10.1142/s021812749500123x.
LibreCat | DOI
 

1995 | Journal Article | LibreCat-ID: 16532
Dellnitz, M, and C Heinrich. “Admissible Symmetry Increasing Bifurcations.” Nonlinearity, 1995, 1039–66. https://doi.org/10.1088/0951-7715/8/6/009.
LibreCat | DOI
 

1995 | Journal Article | LibreCat-ID: 16542
Dellnitz, M, and I Melbourne. “A Note on the Shadowing Lemma and Symmetric Periodic Points.” Nonlinearity, 1995, 1067–75. https://doi.org/10.1088/0951-7715/8/6/010.
LibreCat | DOI
 

1995 | Journal Article | LibreCat-ID: 16550
Dellnitz, Michael, Michael Field, Martin Golubitsky, Jun Ma, and Andreas Hohmann. “Cycling Chaos.” International Journal of Bifurcation and Chaos, 1995, 1243–47. https://doi.org/10.1142/s0218127495000909.
LibreCat | DOI
 

1995 | Journal Article | LibreCat-ID: 16551
Dellnitz, Michael, Martin Golubitsky, Andreas Hohmann, and Ian Stewart. “Spirals in Scalar Reaction–Diffusion Equations.” International Journal of Bifurcation and Chaos, 1995, 1487–1501. https://doi.org/10.1142/s0218127495001149.
LibreCat | DOI
 

1995 | Book Chapter | LibreCat-ID: 16611
Golubitsky, Martin, Jerrold Marsden, Ian Stewart, and Michael Dellnitz. “The Constrained Liapunov-Schmidt Procedure and Periodic Orbits.” In Normal Forms and Homoclinic Chaos. Providence, Rhode Island, 1995. https://doi.org/10.1090/fic/004/05.
LibreCat | DOI
 

1994 | Journal Article | LibreCat-ID: 16541
Dellnitz, Michael, and Ian Melbourne. “Generic Movement of Eigenvalues for Equivariant Self-Adjoint Matrices.” Journal of Computational and Applied Mathematics, 1994, 249–59. https://doi.org/10.1016/0377-0427(94)90032-9.
LibreCat | DOI
 

1994 | Book Chapter | LibreCat-ID: 16544
Dellnitz, Michael, and Jürgen Scheurle. “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom.” In Dynamics, Bifurcation and Symmetry. Dordrecht, 1994. https://doi.org/10.1007/978-94-011-0956-7_9.
LibreCat | DOI
 

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