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228 Publications
2013 | Journal Article | LibreCat-ID: 16608
Gail T, Leyendecker S, Ober-Blöbaum S. Computing time investigations for variational multirate integration. PAMM. 2013:43-44. doi:10.1002/pamm.201310017
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2013 | Conference Paper | LibreCat-ID: 16643
Ober-Blöbaum S, Seifried A. A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties. In: 2013 European Control Conference (ECC). ; 2013. doi:10.23919/ecc.2013.6669594
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2013 | Book Chapter | LibreCat-ID: 16670
Schütze O, Witting K, Ober-Blöbaum S, Dellnitz M. Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems. In: EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation. Berlin, Heidelberg; 2013. doi:10.1007/978-3-642-32726-1_5
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2013 | Conference Paper | LibreCat-ID: 16672
Specht A, Ober-Blobaum S, Wallscheid O, Romaus C, Bocker J. Discrete-time model of an IPMSM based on variational integrators. In: 2013 International Electric Machines & Drives Conference. ; 2013. doi:10.1109/iemdc.2013.6556322
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2013 | Journal Article | LibreCat-ID: 16677
Witting K, Ober-Blöbaum S, Dellnitz M. A variational approach to define robustness for parametric multiobjective optimization problems. Journal of Global Optimization. 2013:331-345. doi:10.1007/s10898-012-9972-6
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2013 | Conference Paper | LibreCat-ID: 17048
Timmermann R, Dellnitz M. Analysis of team and player performance using recorded trajectory data. In: Performance Analysis of Sport IX, Part 8, Routledge. ; 2013.
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2013 | Conference Paper | LibreCat-ID: 17049
Jakobsmeyer R, Schnittker R, Timmermann R, Zorn R, Rückert U, Baumeister J. Running performance analysis in basketball using recorded trajectory data. In: Performance Analysis of Sport IX, Part 8, Routledge. ; 2013.
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2013 | Journal Article | LibreCat-ID: 17050
Ober-Blöbaum S, Tao M, Cheng M, Owhadi H, Marsden JE. Variational integrators for electric circuits. Journal of Computational Physics. 2013;242:498-530. doi:10.1016/j.jcp.2013.02.006
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2012 | Book Chapter | LibreCat-ID: 16516
Baier R, Molo MH. Newton’s Method and Secant Method for Set-Valued Mappings. In: Large-Scale Scientific Computing. Berlin, Heidelberg; 2012. doi:10.1007/978-3-642-29843-1_9
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2012 | Book Chapter | LibreCat-ID: 16576
Dellnitz M, Dignath F, Flaßkamp K, et al. Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In: Mathematics in Industry. Berlin, Heidelberg; 2012. doi:10.1007/978-3-642-25100-9_14
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2012 | Conference Paper | LibreCat-ID: 16589
Flaskamp K, Ober-Blobaum S. Energy efficient control for mechanical systems based on inherent dynamical structures. In: 2012 American Control Conference (ACC). ; 2012. doi:10.1109/acc.2012.6314820
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2012 | Conference Paper | LibreCat-ID: 16591
Flasskamp K, Murphey T, Ober-Blobaum S. Switching time optimization in discretized hybrid dynamical systems. In: 2012 IEEE 51st IEEE Conference on Decision and Control (CDC). ; 2012. doi:10.1109/cdc.2012.6426414
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2012 | Journal Article | LibreCat-ID: 16592
Flaßkamp K, Ober-Blöbaum S, Kobilarov M. Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures. Journal of Nonlinear Science. 2012:599-629. doi:10.1007/s00332-012-9140-7
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2012 | Journal Article | LibreCat-ID: 16593
Flaßkamp K, Timmermann J, Ober-Blöbaum S, Dellnitz M, Trächtler A. Optimal Control on Stable Manifolds for a Double Pendulum. PAMM. 2012:723-724. doi:10.1002/pamm.201210350
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2012 | Journal Article | LibreCat-ID: 16603
Froyland G, Horenkamp C, Rossi V, Santitissadeekorn N, Gupta AS. Three-dimensional characterization and tracking of an Agulhas Ring. Ocean Modelling. 2012:69-75. doi:10.1016/j.ocemod.2012.05.001
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2012 | Journal Article | LibreCat-ID: 16635
Meyer A. Discontinuity Induced Bifurcations in Timed Continuous Petri Nets. IFAC Proceedings Volumes. 2012:28-33. doi:10.3182/20121003-3-mx-4033.00008
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2012 | Journal Article | LibreCat-ID: 16638
Meyer A, Silva M. Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics. IFAC Proceedings Volumes. 2012:153-159. doi:10.3182/20120606-3-nl-3011.00067
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2012 | Journal Article | LibreCat-ID: 16659
Ringkamp M, Ober-Blöbaum S, Dellnitz M, Schütze O. Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization. 2012:1117-1146. doi:10.1080/0305215x.2011.634407
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2012 | Book Chapter | LibreCat-ID: 16681
Dellnitz M, Schütze O. Multilevel Subdivision Techniques for Scalar Optimization Problems. In: Global Analysis of Nonlinear Dynamics. New York, NY; 2012. doi:10.1007/978-1-4614-3128-2_10
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2012 | Journal Article | LibreCat-ID: 16696
Zanzottera A, Mingotti G, Castelli R, Dellnitz M. Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario. Communications in Nonlinear Science and Numerical Simulation. 2012:832-843. doi:10.1016/j.cnsns.2011.06.032
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| DOI
2012 | Book Chapter | LibreCat-ID: 17035
Dellnitz M, Dignath F, Flaßkamp K, et al. Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In: Mathematics in Industry. Berlin, Heidelberg; 2012. doi:10.1007/978-3-642-25100-9_14
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2011 | Conference Paper | LibreCat-ID: 16588
Flaßkamp K, Ober-Blöbaum S. Variational formulation and optimal control of hybrid lagrangian systems. In: Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11. ; 2011. doi:10.1145/1967701.1967736
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2011 | Journal Article | LibreCat-ID: 16624
Klus S, Sahai T, Liu C, Dellnitz M. An efficient algorithm for the parallel solution of high-dimensional differential equations. Journal of Computational and Applied Mathematics. 2011:3053-3062. doi:10.1016/j.cam.2010.12.026
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2011 | Journal Article | LibreCat-ID: 16629
Krüger M, Witting K, Trächtler A, Dellnitz M. Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*. IFAC Proceedings Volumes. 2011:12611-12619. doi:10.3182/20110828-6-it-1002.02487
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2011 | Journal Article | LibreCat-ID: 16639
Meyer A, Dellnitz M, Hessel-von Molo M. Symmetries in timed continuous Petri nets. Nonlinear Analysis: Hybrid Systems. 2011:125-135. doi:10.1016/j.nahs.2010.05.005
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2011 | Journal Article | LibreCat-ID: 17034
Hage-Packhäuser S, Dellnitz M. Stabilization via symmetry switching in hybrid dynamical systems. Discrete & Continuous Dynamical Systems - B. 2011;16(1):239-263. doi:10.3934/dcdsb.2011.16.239
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2010 | Book Chapter | LibreCat-ID: 16575
Dellnitz M, Padberg K, Preis R, Thiere B. Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. In: Nonlinear Science and Complexity. Dordrecht; 2010. doi:10.1007/978-90-481-9884-9_12
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2010 | Journal Article | LibreCat-ID: 16590
Flaßkamp K, Ober-Blöbaum S, Kobilarov M. Solving optimal control problems by using inherent dynamical properties. PAMM. 2010:577-578. doi:10.1002/pamm.201010281
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2010 | Journal Article | LibreCat-ID: 16673
Tantardini M, Fantino E, Ren Y, Pergola P, Gómez G, Masdemont JJ. Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem. Celestial Mechanics and Dynamical Astronomy. 2010:215-232. doi:10.1007/s10569-010-9299-x
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2010 | Conference Paper | LibreCat-ID: 16675
Thiere B, Ober-Blöbaum S, Pergola P. Detecting Initial Guesses for Trajectories in the (P)CRTBP. In: AIAA/AAS Astrodynamics Specialist Conference. ; 2010. doi:10.2514/6.2010-7962
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2009 | Journal Article | LibreCat-ID: 16499
Biasco L, Di Gregorio L. A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation. Archive for Rational Mechanics and Analysis. 2009:303-362. doi:10.1007/s00205-009-0240-y
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2009 | Conference Paper | LibreCat-ID: 16524
Blesken M, Ruckert U, Steenken D, Witting K, Dellnitz M. Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques. In: 2009 NORCHIP. ; 2009. doi:10.1109/norchp.2009.5397800
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2009 | Journal Article | LibreCat-ID: 16545
Dellnitz M, Witting K. Computation of robust Pareto points. International Journal of Computing Science and Mathematics. 2009. doi:10.1504/ijcsm.2009.027876
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2009 | Journal Article | LibreCat-ID: 16572
Dellnitz M, Froyland G, Horenkamp C, Padberg K. On the Approximation of Transport Phenomena - a Dynamical Systems Approach. GAMM-Mitteilungen. 2009:47-60. doi:10.1002/gamm.200910004
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2009 | Journal Article | LibreCat-ID: 16573
Dellnitz M, Froyland G, Horenkamp C, Padberg-Gehle K, Sen Gupta A. Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators. Nonlinear Processes in Geophysics. 2009:655-663. doi:10.5194/npg-16-655-2009
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2009 | Journal Article | LibreCat-ID: 16574
Dellnitz M, Ober-Blöbaum S, Post M, Schütze O, Thiere B. A multi-objective approach to the design of low thrust space trajectories using optimal control. Celestial Mechanics and Dynamical Astronomy. 2009:33-59. doi:10.1007/s10569-009-9229-y
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2009 | Journal Article | LibreCat-ID: 16636
Meyer A, Dellnitz M. Symmetries in Timed Continuous Petri Nets. IFAC Proceedings Volumes. 2009:68-73. doi:10.3182/20090916-3-es-3003.00013
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2009 | Journal Article | LibreCat-ID: 16649
Padberg K, Thiere B, Preis R, Dellnitz M. Local expansion concepts for detecting transport barriers in dynamical systems. Communications in Nonlinear Science and Numerical Simulation. 2009:4176-4190. doi:10.1016/j.cnsns.2009.03.018
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2009 | Conference Paper | LibreCat-ID: 16661
Romaus C, Bocker J, Witting K, Seifried A, Znamenshchykov O. Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors. In: 2009 IEEE Energy Conversion Congress and Exposition. ; 2009. doi:10.1109/ecce.2009.5316428
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2009 | Conference Paper | LibreCat-ID: 16663
Schneider T, Schulz B, Henke C, Witting K, Steenken D, Bocker J. Energy transfer via linear doubly-fed motor in different operating modes. In: 2009 IEEE International Electric Machines and Drives Conference. ; 2009. doi:10.1109/iemdc.2009.5075267
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2009 | Journal Article | LibreCat-ID: 16669
Schütze O, Vasile M, Junge O, Dellnitz M, Izzo D. Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach. Engineering Optimization. 2009:155-181. doi:10.1080/03052150802391734
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2009 | Conference Paper | LibreCat-ID: 16695
Wang F, Dellnitz M. Multi-objective shape optimization for piezoceramics. In: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications. ; 2009. doi:10.1109/spawda.2008.4775823
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2008 | Journal Article | LibreCat-ID: 16610
Geisler MSJ, Witting D-MK, Trächtler A, Dellnitz M. Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle. IFAC Proceedings Volumes. 2008:4380-4386. doi:10.3182/20080706-5-kr-1001.00738
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2008 | Conference Paper | LibreCat-ID: 16623
Klöpper B, Podlogar H, Gausemeier J, Witting K. 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. doi:10.1109/dexa.2008.111
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2008 | Journal Article | LibreCat-ID: 16667
Schütze O, Coello Coello CA, Mostaghim S, Talbi E-G, Dellnitz M. Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems. Engineering Optimization. 2008:383-402. doi:10.1080/03052150701821328
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2008 | Journal Article | LibreCat-ID: 16668
Schütze O, Laumanns M, Coello Coello CA, Dellnitz M, Talbi E-G. Convergence of stochastic search algorithms to finite size pareto set approximations. Journal of Global Optimization. 2008:559-577. doi:10.1007/s10898-007-9265-7
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2008 | Journal Article | LibreCat-ID: 16678
Witting K, Schulz B, Dellnitz M, Böcker J, Fröhleke N. A new approach for online multiobjective optimization of mechatronic systems. International Journal on Software Tools for Technology Transfer. 2008:223-231. doi:10.1007/s10009-008-0066-1
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| DOI
2008 | Conference Paper | LibreCat-ID: 17031
Geisler J, Witting K, Trächtler A, Dellnitz M. 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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2007 | Conference Paper | LibreCat-ID: 16561
Dellnitz M, Padberg K, Post M, Thiere B. Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems. In: AIP Conference Proceedings. ; 2007. doi:10.1063/1.2710046
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2007 | Journal Article | LibreCat-ID: 16602
Froyland G, Padberg K, England MH, Treguier AM. Detection of Coherent Oceanic Structures via Transfer Operators. Physical Review Letters. 2007. doi:10.1103/physrevlett.98.224503
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2007 | Journal Article | LibreCat-ID: 16612
Grüne L, Junge O. Global Optimal Control of Perturbed Systems. Journal of Optimization Theory and Applications. 2007:411-429. doi:10.1007/s10957-007-9312-z
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| DOI
2007 | Conference Paper | LibreCat-ID: 16630
Leyendecker S, Ober-Blöbaum S, Marsden JE, Ortiz M. 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. doi:10.1115/detc2007-34574
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2007 | Book Chapter | LibreCat-ID: 16640
Monien B, Preis R. Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs. In: Mathematical Foundations of Computer Science 2001. Berlin, Heidelberg; 2007. doi:10.1007/3-540-44683-4_46
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2007 | Journal Article | LibreCat-ID: 16648
Padberg K, Hauff T, Jenko F, Junge O. Lagrangian structures and transport in turbulent magnetized plasmas. New Journal of Physics. 2007:400-400. doi:10.1088/1367-2630/9/11/400
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2007 | Book Chapter | LibreCat-ID: 16658
Preis R, Monien B, Schamberger S. Approximation Algorithms for Multilevel Graph Partitioning. In: Handbook of Approximation Algorithms and Metaheuristics. ; 2007. doi:10.1201/9781420010749.ch60
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2007 | Conference Paper | LibreCat-ID: 16666
Schütze O, Talbi E, Pulido GT, Coello CC, Santana-Quintero LV. A Memetic PSO Algorithm for Scalar Optimization Problems. In: 2007 IEEE Swarm Intelligence Symposium. ; 2007. doi:10.1109/sis.2007.368036
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2007 | Report | LibreCat-ID: 17028
Vasile M, Schütze O, Junge O, Radice G, Dellnitz M. 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 A. Multi-Objective Optimization in Self-Optimizing Systems. In: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. ; 2006. doi:10.1109/iecon.2006.348080
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| DOI
2006 | Book Chapter | LibreCat-ID: 16539
Dellnitz M, Junge O. Set Oriented Numerical Methods in Space Mission Design. In: Elsevier Astrodynamics Series. ; 2006. doi:10.1016/s1874-9305(07)80007-0
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2006 | Book Chapter | LibreCat-ID: 16559
Dellnitz M, Molo MH, Metzner P, Preis R, Schütte C. Graph Algorithms for Dynamical Systems. In: Analysis, Modeling and Simulation of Multiscale Problems. ; 2006. doi:10.1007/3-540-35657-6_23
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2006 | Journal Article | LibreCat-ID: 16560
Dellnitz M, Junge O, Post M, Thiere B. On target for Venus – set oriented computation of energy efficient low thrust trajectories. Celestial Mechanics and Dynamical Astronomy. 2006:357-370. doi:10.1007/s10569-006-9008-y
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2006 | Conference Paper | LibreCat-ID: 16618
Junge O, Ober-Blobaum S. Optimal Reconfiguration of Formation Flying Satellites. In: Proceedings of the 44th IEEE Conference on Decision and Control. ; 2006. doi:10.1109/cdc.2005.1582132
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| DOI
2006 | Conference Paper | LibreCat-ID: 16621
Junge O, Marsden JE, Ober-Blobaum S. Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach. In: Proceedings of the 45th IEEE Conference on Decision and Control. ; 2006. doi:10.1109/cdc.2006.376977
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| DOI
2006 | Conference Paper | LibreCat-ID: 16626
Knoke T, Romaus C, Bocker J, Dell’Aere A, Witting K. Energy Management for an Onboard Storage System Based on Multi-Objective Optimization. In: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. ; 2006. doi:10.1109/iecon.2006.347705
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2006 | Journal Article | LibreCat-ID: 16632
Mehta PG, Hessel-von Molo M, Dellnitz M. Symmetry of attractors and the Perron-Frobenius operator. Journal of Difference Equations and Applications. 2006:1147-1178. doi:10.1080/10236190601045788
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2006 | Journal Article | LibreCat-ID: 16641
Monien B, Preis R. Upper bounds on the Bisection Width of 3- and 4-regular Graphs. Journal of Discrete Algorithms. 2006:475-498. doi:10.1016/j.jda.2005.12.009
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2006 | Journal Article | LibreCat-ID: 16671
Sertl S, Dellnitz M. Global Optimization using a Dynamical Systems Approach. Journal of Global Optimization. 2006:569-587. doi: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. doi:10.1196/annals.1370.027
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2005 | Conference Paper | LibreCat-ID: 16525
Day S, Junge O, Mischaikow K. Towards Automated Chaos Verification. In: EQUADIFF 2003. ; 2005. doi:10.1142/9789812702067_0014
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2005 | Journal Article | LibreCat-ID: 16557
Dellnitz M, Junge O, Koon WS, et al. Transport in Dynamical Astronomy and Multibody Problems. International Journal of Bifurcation and Chaos. 2005:699-727. doi:10.1142/s0218127405012545
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2005 | Journal Article | LibreCat-ID: 16558
Dellnitz M, Junge O, Lo MW, et al. Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. Physical Review Letters. 2005. doi:10.1103/physrevlett.94.231102
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2005 | Journal Article | LibreCat-ID: 16613
Grüne L, Junge O. A set oriented approach to optimal feedback stabilization. Systems & Control Letters. 2005:169-180. doi:10.1016/j.sysconle.2004.08.005
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| DOI
2005 | Journal Article | LibreCat-ID: 16627
Krauskopf B, Osinga HM, Doedel EJ, et al. A Survey of Methods for Computing (un)stable Manifolds of Vector Fields. International Journal of Bifurcation and Chaos. 2005:763-791. doi:10.1142/s0218127405012533
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| DOI
2005 | Conference Paper | LibreCat-ID: 16628
Krishnamurthy A, Preis R. Satellite Formation, a Mobile Sensor Network in Space. In: 19th IEEE International Parallel and Distributed Processing Symposium. ; 2005. doi:10.1109/ipdps.2005.387
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| DOI
2005 | Conference Paper | LibreCat-ID: 16631
Li R, Pottharst A, Frohieke N, et al. 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. doi:10.1109/apec.2005.1452979
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2005 | Journal Article | LibreCat-ID: 16684
Dellnitz M, Sch�tze O, Hestermeyer T. Covering Pareto Sets by Multilevel Subdivision Techniques. Journal of Optimization Theory and Applications. 2005:113-136. doi:10.1007/s10957-004-6468-7
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2004 | Journal Article | LibreCat-ID: 16500
Chaudhuri I, Sertl S, Hajnal Z, Dellnitz M, Frauenheim T. Global optimization of silicon nanoclusters. Applied Surface Science. 2004:108-113. doi:10.1016/j.apsusc.2003.11.007
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| DOI
2004 | Journal Article | LibreCat-ID: 16521
Bezrukov S, Elsässer R, Monien B, Preis R, Tillich J-P. New spectral lower bounds on the bisection width of graphs. Theoretical Computer Science. 2004:155-174. doi:10.1016/j.tcs.2004.03.059
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| DOI
2004 | Journal Article | LibreCat-ID: 16527
Day S, Junge O, Mischaikow K. A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems. SIAM Journal on Applied Dynamical Systems. 2004:117-160. doi:10.1137/030600210
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2004 | Journal Article | LibreCat-ID: 16587
Elsässer R, Monien B, Preis R, Frommer A. Optimal Diffusion Schemes and Load Balancing on Product Graphs. Parallel Processing Letters. 2004:61-73. doi:10.1142/s0129626404001714
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| DOI
2004 | Journal Article | LibreCat-ID: 16619
Junge O, Osinga HM. A set oriented approach to global optimal control. ESAIM: Control, Optimisation and Calculus of Variations. 2004:259-270. doi:10.1051/cocv:2004006
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2004 | Conference Paper | LibreCat-ID: 16620
Junge O, Marsden JE, Mezic I. Uncertainty in the dynamics of conservative maps. In: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601). ; 2004. doi:10.1109/cdc.2004.1430379
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2003 | Journal Article | LibreCat-ID: 16498
Aston PJ, Dellnitz M. 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. 2003:2933-2955. doi:10.1098/rspa.2003.1143
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2003 | Book Chapter | LibreCat-ID: 16543
Dellnitz M, Preis R. Congestion and Almost Invariant Sets in Dynamical Systems. In: Lecture Notes in Computer Science. Berlin, Heidelberg; 2003. doi:10.1007/3-540-45084-x_8
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2003 | Journal Article | LibreCat-ID: 16600
Froyland G, Dellnitz M. Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles. SIAM Journal on Scientific Computing. 2003:1839-1863. doi:10.1137/s106482750238911x
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2003 | Book Chapter | LibreCat-ID: 16664
Schütze O. A New Data Structure for the Nondominance Problem in Multi-objective Optimization. In: Lecture Notes in Computer Science. Berlin, Heidelberg; 2003. doi:10.1007/3-540-36970-8_36
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| DOI
2003 | Book Chapter | LibreCat-ID: 16665
Schütze O, Mostaghim S, Dellnitz M, Teich J. Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques. In: Lecture Notes in Computer Science. Berlin, Heidelberg; 2003. doi:10.1007/3-540-36970-8_9
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| DOI
2002 | Book Chapter | LibreCat-ID: 16538
Dellnitz M, Junge O. Set Oriented Numerical Methods for Dynamical Systems. In: Handbook of Dynamical Systems. ; 2002. doi:10.1016/s1874-575x(02)80026-1
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| DOI
2002 | Journal Article | LibreCat-ID: 16556
Dellnitz M. Finding zeros by multilevel subdivision techniques. IMA Journal of Numerical Analysis. 2002:167-185. doi:10.1093/imanum/22.2.167
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer R, Monien B, Preis R. Diffusion Schemes for Load Balancing on Heterogeneous Networks. Theory of Computing Systems. 2002:305-320. doi:10.1007/s00224-002-1056-4
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| DOI
2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz M, Froyland G, Junge O. The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems. In: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg; 2001. doi:10.1007/978-3-642-56589-2_7
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| DOI
2001 | Book Chapter | LibreCat-ID: 16598
Froyland G. Extracting Dynamical Behavior via Markov Models. In: Nonlinear Dynamics and Statistics. Boston, MA; 2001. doi:10.1007/978-1-4612-0177-9_12
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| DOI
2001 | Journal Article | LibreCat-ID: 16601
Froyland G, Junge O, Ochs G. Rigorous computation of topological entropy with respect to a finite partition. Physica D: Nonlinear Phenomena. 2001:68-84. doi:10.1016/s0167-2789(01)00216-0
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| DOI
2001 | Journal Article | LibreCat-ID: 16617
Junge O. An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence. Dynamical Systems. 2001:213-222. doi:10.1080/14689360109696233
LibreCat
| DOI
2000 | Book Chapter | LibreCat-ID: 16513
Aston PJ, Dellnitz M. The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0196
LibreCat
| DOI
2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz M, Froyland G, Sertl S. A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0199
LibreCat
| DOI
2000 | Journal Article | LibreCat-ID: 16554
Dellnitz M, Froyland G, Sertl S. On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity. 2000:1171-1188. doi:10.1088/0951-7715/13/4/310
LibreCat
| DOI
2000 | Book Chapter | LibreCat-ID: 16616
Junge O. Rigorous discretization of subdivision techniques. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0178
LibreCat
| DOI
2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz M, Junge O, Rumpf M, Strzodka R. The computation of an unstable invariant set inside a cylinder containing a knotted flow. In: Equadiff 99. ; 2000:1053--1059. doi:10.1142/9789812792617_0204
LibreCat
| DOI
1999 | Journal Article | LibreCat-ID: 16511
Aston PJ, Dellnitz M. The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering. 1999:223-237. doi:10.1016/s0045-7825(98)00196-0
LibreCat
| DOI