Publications of 2004 to 2006

2006

• Dell'Aere, A.:
  Multi-Objective Optimization in Self-Optimizing Systems
  Proceedings of the IEEE 32nd Annual Conference on Industrial Electronics (IECON), Paris, pp. 4755-4760, 2006.
   
• Dellnitz, M.; Hessel-von Molo, M.; Metzner, Ph.; Preis, R.; Schütte, Ch.:
  Graph algorithms for dynamical systems
  In: Mielke, A. (ed.): Analysis, Modeling and Simulation of Multiscale Problems, Springer Verlag, Heidelberg, pp. 619-646, 2006. PDF-file (690k)
  
  
• Dellnitz, M.; Junge, O.:
  Set oriented numerical methods in space mission design
  Gurfil, P. (ed.): Modern Astrodynamics, Vol. I, pp. 127-153, Elsevier, 2006. PDF-file (2M)
  
  
• Dellnitz, M.; Junge, O.; Krishnamurthy, A.; Ober-Blöbaum, S.; Padberg, K.; Preis, R.:
  Efficient Control of Formation Flying Spacecraft
  In New Trends in Parallel & Distributed Computing, Heinz Nixdorf Institut Verlagsschriftenreihe 181, pp. 235-247, 2006. PDF-file (2.3M)
  
  
• Dellnitz, M.; Junge, O.; Krishnamurthy, A.; Preis, R.:
  Stable Communication Topologies of a Formation of Satellites
  Nonlinear Dynamics and Systems Theory, 4(6), pp.337-342, 2006.
  
  
• 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, Special Issue Celmec IV, 95(1-4), pp.357-370, Springer, 2006.
  Preprint PDF-file (800K), The original publication is available at www.springerlink.com.
  
  
• Junge, O.; Marsden, J.E.; Ober-Blöbaum, S.:
  Optimal Reconfiguration of Formation Flying Spacecraft - a Decentralized Approach
  Proceedings of the IEEE Conference on Decision and Control and European Control Conference (ECC), San Diego, USA, pp. 5210-5215, 2006.
  
  
• Knoke, T.; Romaus, Ch.; Böcker, J.; Dell'Aere, A.; Witting, K.:
  Energy Management for an Onboard Storage System Based on Multi-Objective Optimization
  Proceedings of the IEEE 32nd Annual Conference on Industrial Electronics (IECON), Paris, pp. 4677-4682, 2006.
  
  
• Mehta, P.G.; Hessel-von Molo, M.; Dellnitz, M.:
  Symmetry of Attractors and the Perron-Frobenius Operator
  Journal of Difference Equations and Applications, 12(11), pp. 1147-1178, 2006. PDF-file (500k)
  
  
• Merk, H.D.; Weniger, H.; Preis, R.:
  Optimierte Technik für die Plattenaufteilung
  Holz-Zentralblatt, 132(2), p. 44, 2006.
  
  
• Monien, B.; Preis, R.:
  Upper bounds on the bisection width of 3- and 4-regular graphs
  Journal of Discrete Algorithms, 4, pp.475-498, 2006.
  
  
• Sertl, S.; Dellnitz, M.:
  Global Optimization using a Dynamical Systems Approach
  Journal of Global Optimization, 34(4), pp. 569-587, 2006. PDF-file (350k)

2005

• Baker, A.; Dellnitz, M.; Junge, O.:
  A topological method for rigorously computing periodic orbits using Fourier modes
  Discrete and Continuous Dynamical Systems, 13(4), pp. 901-920, 2005. PDF-file (320k)
  
  
• Day, S.; Junge, O.; Mischaikow, K.:
  Towards automized chaos verification
  Proceedings of Equadiff 2003, International Conference on Differential Equations, 2005. PDF-file (200k)
  
  
• Dellnitz, M.; Grubits, K.A.; Marsden, J.E.; Padberg, K.; Thiere, B.:
  Set Oriented Computation of Transport Rates in 3-degree of Freedom Systems: the Rydberg Atom in Crossed Fields
  Regular and Chaotic Dynamics (special issue In Commemoration of the 150th Anniversary of the Birth of Jules Henri Poincare), 10(2), 173-192, 2005. PDF-file (1.1M)
  
  
• Dellnitz, M.; Junge, O.; Koon, W.S.; Lekien, F.; Lo, M.W.; Marsden, J.E.; Padberg, K.; Preis, R.; Ross, S.D.; Thiere, B.:
  Transport in Dynamical Astronomy and Multibody Problems
  International Journal of Bifurcation and Chaos, 15(3), pp. 699-727, 2005. PDF-file (1.4M)
  
  
• Dellnitz, M.; Junge, O.; Lo, M.W.; Marsden, J.E.; Padberg, K.; Preis, R.; Ross, S.D.; Thiere, B.:
  Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region
  Physical Review Letters, 94(23), pp. 231102-1 - 231102-4, 2005. PDF-file (7M)
  
  
• Dellnitz, M.; Junge, O.; Wang, F.:
  Exploring the Dynamics of Nonlinear Models for a Piezoceramic
  In Proc. of the 5th EUROMECH Nonlinear Dynamics Conference, Eindhoven, Netherlands, 2005. PDF-file (240k)
  
  
• Dellnitz, M.; Schütze, O.; Hestermeyer, T.:
  Covering Pareto Sets by Multilevel Subdivision Techniques
  Journal of Optimization, Theory and Applications, 124(1), pp. 113-136, 2005. PDF-file (2.7M)
  
  
• Grüne, L,; Junge, O.:
  Global optimal control of perturbed systems
  Accepted to Journal of Optimization Theory and Applications, 2007. PDF-file (370k)
  
  
• Grüne, Lars; Junge, Oliver:
  A set oriented approach to optimal feedback stabilization
  Systems and Control Letters, 54(2), pp. 169-180, 2005. PDF-file (1.2M)
  
  
• Junge, Oliver; Marsden, Jerrold. E.; Ober-Blöbaum, Sina:
  Discrete Mechanics and Optimal Control
  In Proc. of the 16th IFAC World Congress, Praha, Czech Republic, 2005. PDF-file (150k)
  
  
• Junge, O.; Ober-Blöbaum, S.:
  Optimal Reconfiguration of Formation Flying Satellites
  In Proc. of the IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville, Spain. PDF-file (250k)
  
  
• Krauskopf, B.; Osinga, H.M.; Doedel, E.J.; Henderson, M.E.; Guckenheimer, J.; Vladimirsky, A.; Dellnitz, M.; Junge, O.:
  A survey of methods for computing (un)stable manifolds of vector fields
  International Journal of Bifurcation and Chaos, 15, pp. 763-792, 2005. PDF-file (19MB).
  
  
• Krishnamurthy, A.; Preis, R.:
  Satellite Formation, a Mobile Sensor Network in Space
  In Proc. of the 19th IEEE International Parallel & Distributed Processing Symposium (IPDPS'05), p. 243, Denver, Colorado, 2005.
  
  
• Li, R.; Pottharst, A.; Fröhleke, N.; Böcker, J.; Witting, K.; Dellnitz, M.; Znamenshchykov, O.; Feldmann, R.:
  Design and Implementation of a Hybrid Energy Supply System for Railway Vehicles
  Proc. APEC 2005, IEEE Applied Power Electronics Conference 2005, Austin, Texas, USA. PDF-file (1.7M)
  
  
• Schütze, O.; Dell'Aere, A.; Dellnitz, M.:
  On Continuation Methods for the Numerical Treatment of Multi-Objective Optimization Problems
  Branke, J.; Deb, K.; Miettinen, K.; Steuer, R.E. Steuer (eds.): Practical Approaches to Multi-Objective Optimization, 2005.
  
  
• Thiere, B.; Dellnitz, M.:
  Return time dynamics as a tool for finding almost invariant sets
  E. Belbruno (ed.): New Trends in Astrodynamics and Applications, Annals of the New York Academy of Sciences, 1065, pp. 44-54, 2005. PDF-file (400k)

2004

• Bauch, Manfred; Thiere, Bianca; Unger, Luise:
  Visualizing mathematics on the web - constructivist approaches in open and distance education
  In Proc. of the 21st ICDE World Conference on Open Learning and Distance Education, Hong Kong, 2004.
  
  
• Bezrukov, S.; Elsässer, R.; Monien, B.; Preis, R.; Tillich, J.-P.:
  New spectral lower bounds on the bisection width of graphs
  Theoretical Computer Science, 320, pp. 155-174, 2004. PDF-file (300k)
  
  
• Boman, E.; Devine, K.; Heaphy, R.; Hendrickson, B.; Heroux, M.; Preis, R.:
  {LDRD} Report: Parallel Repartitioning for Optimal Solver Performance
  Sandia National Laboratories, SAND2004-0365, 2004.
  
  
• Chaudhuri, Indira; Sertl, Stefan; Hajnal, Zoltán; Dellnitz, Michael; Frauenheim, Thomas:
  Global Optimization of Silicon Nanoclusters
  Applied Surface Science, 226(1-3), pp. 108-113, 2004. PDF-file (190k)
  
  
• Day, Sarah; Junge, Oliver; Mischaikow, Konstantin:
  A Rigorous Numerical Method for the Global Analysis of Infinite Dimensional Discrete Dynamical Systems
  SIAM Journal on Applied Dynamical Systems, 3(2), pp. 117-160, 2004. PDF-file (700k)
  
  
• Elsässer, R.; Monien, B.; Preis, R.; Frommer, A.:
  Optimal Diffusion Schemes and Load Balancing on Product Graphs
  Parallel Processing Letters, 14(1), pp. 61-73, 2004. PDF-file (700k)
  
  
• Frank, U.; Gausemeier, J.; Giese, H.; Klein, F.; Oberschelp, O.; Schmidt, A.; Schulz, B.; Vöcking, H.; Witting, K.:
  Selbstoptimierende Systeme des Maschinenbaus - Definitionen und Konzepte
  HNI-Schriftenreihe 155, Bonifatius GmbH, 2004. PDF-file (700k)
  
  
• Junge, Oliver; Marsden, Jerrold. E.; Mezic, Igor:
  Uncertainty in the Dynamics of Conservative Maps
  Proceedings of the 43rd IEEE Conference on Decision and Control, 2004. PDF-file (870k)
  
  
• Junge, Oliver; Osinga, Hinke:
  A set oriented approach to global optimal control
  ESAIM: Control, Optimisation and Calculus of Variations, 3(2), pp.259-270, 2004. PDF-file (650k)
  
  
• Padberg, K.; Preis, R.; Dellnitz, M.:
  Integrating Multilevel Graph Partitioning with Hierarchical Set Oriented Methods for the Analysis of Dynamical Systems
  Preprint 152 of the DFG Schwerpunktprogramm 1095, 2004. PDF-file (1.5M)
  
  
• Pottharst, A.; Baptist, K.; Schütze, O.; Böcker, J.; Fröhlecke, N.; Dellnitz, M.:
  Operating point assignment of a linear motor driven vehicle using multi-objective optimization methods
  Proceedings of the 11th International Conference EPE-PEMC 2004, Riga, Latvia, 09/2004. PDF-file (310k)
  
  
• Preis, R.; Dellnitz, M.; Hessel, M.; Schütte, Ch.; Meerbach, E.:
  Dominant Paths Between Almost Invariant Sets of Dynamical Systems
  Preprint 154 of the DFG Schwerpunktprogramm 1095, 2004. PDF-file (3M)
  
  
• Unger, L.; M.J. Bauch; A. Baudry; M. Bungenstock; B. Mertsching; G. Oevel; K. Padberg; B. Thiere:
  math-kit - Ein multimedialer Baukasten für die Mathematikausbildung im Grundstudium
  Softwaretechnik-Trends, 24(1), pp. 62-71, 2004.