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Preprints

  1. Froyland, G.; Junge, O.:
    Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories Pfeil,
    Preprint, 2017.

Books

  1. Grüne, L.; Junge, O.:
    Gewöhnliche Differentialgleichungen - Eine Einführung aus der Perspektive der dynamischen Systeme Pfeil,
    Vieweg+Teubner, 2008.

Research papers and book chapters

  1. Junge, O.; Kevrekidis, I.G.:
    On the sighting of unicorns: a variational approach to computing invariant sets in dynamical systems Pfeil,
    CHAOS, 27 (6), 2017. DOI Pfeil
  2. Ferretti, G., Ferretti, R., Junge, O., Schreiber, A.:
    An adaptive multilevel radial basis function scheme for the HJB equation,
    Proceedings of the 20th IFAC World Congress, Toulouse, France, 2017, Paper No. 1951.
  3. Junge, O.; Matthes, D.; Osberger, H.:
    A fully discrete variational scheme for solving nonlinear Fokker-Planck equations in higher space dimensions Pfeil,
    SIAM J. Numer. Anal. 55 (1), p. 419-443, 2017. DOI Pfeil
  4. Denner, A.; Junge, O.; Matthes, D.:
    Computing Coherent Sets using the Fokker-Planck Equation Pfeil,
    J. Comp. Dyn., 3 (2), p.3-18, 2016. DOI Pfeil
  5. Bittracher, A.; Hartmann, C.; Junge, O.; Koltai, P.:
    Pseudo generators for under-resolved molecular dynamics Pfeil,
    Eur. Phys. J. Special Topics, 224 (12), p. 2463–2490, 2015. DOI Pfeil
  6. Bittracher, A,; Koltai P.; Junge, O.:
    Pseudo generators of spatial transfer operators Pfeil,
    SIAM J. Appl. Dyn. Sys., 14 (3), p. 1487-1517, 2015. DOI Pfeil
  7. Froyland, G.; Junge, O.:
    On fast computation of finite-time coherent sets using radial basis functions Pfeil,
    Chaos 25, 087409 Pfeil, 2015.
  8. Junge, O.; Schreiber, A.:
    Dynamic programming using radial basis functions,
    Discrete and Continuous Dynamical Systems A, 35 (9), p.4439 - 4453, 2015.
  9. Bongini, M.; Fornasier, M.; Junge, O.; Scharf, B.:
    Sparse Control of Alignment Models in High Dimension Pfeil,
    Networks and Heterogeneous Media, 10 (3), p. 647 - 697, 2015._
  10. Tichmann, K.; Junge, O.:
    A Fully Implicit Alternating Direction Method of Multipliers for the Minimization of Convex Problems with an Application to Motion Segmentation,
    To appear in: Proceedings of WACV2014.
  11. Koltai, P.; Junge, O.:
    Optimal value functions for weakly coupled systems: a posteriori estimates Pfeil,
    ZAMM 94(4), pp. 345-355, 2014. DOI 10.1002/zamm.201100138 Pfeil
  12. Jerg, S.; Junge, O.; Post, M.:
    Global optimal feedbacks for stochastic quantized nonlinear event systems,
    Journal of Computational Dynamics, 1(1), pp. 163-176, 2014.
  13. Grüne, L.; Hirche, S.; Junge, O.; Koltai, P.; Lehmann, D.; Lunze, J.; Molin, A.; Sailer, R.; Sigurain, M.; Stöcker, C.; Wirth, F.:
    Event-Based Control
    in: Lunze, J. (ed.): Control Theory of Digitally Networked Dynamics Systems, Springer, 2013.
  14. Aston, P,; Junge, O.:
    Computing the Invariant Measure and the Lyapunov Exponent for One-Dimensional Maps using a Measure-Preserving Polynomial Basis. Pfeil
    Math. Comp., 2013.
  15. Froyland, G,; Junge, O.; Koltai, P.:
    Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach Pfeil.
    SIAM J. Numer. Anal. Pfeil, 51 (1), pp. 223–247, 2013.
  16. Campos, C.M.; Junge, O., Ober-Blöbaum, S.:
    Higher order variational time discretization of optimal control problems Pfeil,
    in: Proc. 20th MTNS, Melbourne, Australia, 2013.
  17. Jerg, S.; Junge, O.:
    Lazy global feedbacks for quantized nonlinear event systems Pfeil,
    in: Proc. 7th IFAC Symposium on Robust Control Design, 7 (1), pp. 294-301, 2012.
  18. Jerg, S.; Junge, O.:
    Delay-optimal global feedbacks for quantized networked event systems,
    in: Proc. 19th MNTS, Budapest, Hungary, pp. 1395-1398, 2010.
  19. Ober-Blöbaum, S.; Junge, O.; Marsden, J.E.:
    Discrete Mechanics and Optimal Control: an Analysis Pfeil,
    ESAIM: COCV, 17 (2), pp.322-352, 2010.
  20. Grüne, L.; Jerg, S.; Junge, O.; Lehmann, D.; Lunze, J.; Müller, F.; Post, M.:
    Two complementary approaches to event-based control,
    at-Automatisierungstechnik Pfeil, 58 (4), pp. 173-182, 2010.
  21. Junge, O.; Koltai, P.:
    Discretization of the Frobenius-Perron operator using a sparse Haar tensor basis - the Sparse Ulam method,
    SIAM J. Num. Anal., 47 (5), pp. 3464-3485, 2009.
  22. Friesecke, G.; Junge, O.; Koltai, P.:
    Mean field approximation in conformation dynamics Pfeil,
    Multiscale Model. Simul. Pfeil, 8 (1), pp. 254-268, 2009.
  23. Junge, O.; Grüne, L.:
    Set oriented construction of globally optimal controllers,
    at - Automatisierungstechnik Pfeil, 57 (6):287-295, 2009. 10.1524/auto.2009.0777 Pfeil
  24. Ross, S.; Jerg, S.; Junge, O.:
    Optimal capture trajectories using multiple gravity assists,
    Communications in Nonlinear Science and Numerical Simulations, 14(12), 4168-4175, 2009. 10.1016/j.cnsns.2008.12.009 Pfeil
  25. 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, 41 (2):155-181, 2009.
  26. Grüne, L.; Junge, O.:
    Global optimal control of perturbed systems,
    Journal of Optimization Theory and Applications, 136 (3), pp. 411-429, 2008 .
  27. Grüne, L.; Junge, O.:
    An efficient algorithm for perturbed shortest path problems,
    PAMM 7 (1), pp. 1025003-1025004, 2007. 10.1002/pamm.200700714 Pfeil
  28. Padberg, K.; Hauff, Th.; Jenko, F.; Junge, O.:
    Lagrangian structures and transport in turbulent magnetized plasmas,
    New Journal of Physics 9 (2007) 400.
  29. Grüne, L.; Junge, O.:
    Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property,
    Proceedings of the 46th IEEE Conference on Decision and Control, pp. 702-707, 2007.
  30. Vasile, M.; Schütze, O.; Junge, O.; Radice, G.; Dellnitz, M.:
    Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers Pfeil,
    Technical Report, European Space Agency, Study AO 05/4106, 2007.
  31. Junge, O.; Marsden, J.E.; Ober-Blöbaum, S.:
    Optimal Reconfiguration of Formation Flying Spacecraft - a Decentralized Approach,
    Proceedings of the 45th IEEE Conference on Decision and Control, pp. 5210-5215, 2006.
  32. Grüne, L.; Junge, O.:
    Optimal stabilization of hybrid systems using a set oriented approach,
    Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, Japan, pp. 2089-2093, 2006.
  33. Dellnitz, M.; Junge, O.:
    Set oriented numerical methods in space mission design,
    Gurfil, P. (ed.): Modern Astrodynamics, Vol. I, pp. 127-153, Elsevier, 2006.
  34. Dellnitz, M.; Junge, O.; Krishnamurthy, A.; Ober-Blöbaum, S.; Padberg, K.; Preis, R.:
    Efficient Control of Formation Flying Spacecraft,
    New Trends in Parallel & Distributed Computing, Heinz Nixdorf Institut Verlagsschriftenreihe 181, pp. 235-247, 2006.
  35. 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, 95 (1-4):357-370, 2006.
  36. Junge, O.; Ober-Blöbaum, S.:
    Optimal reconfiguration of formation flying satellites,
    Proceedings of the 44th IEEE CDCD/ECC, to appear, 2006.
  37. Grüne, L.; Junge, O.:
    Constructing robust feedback laws by set oriented numerical methods,
    Proceedings in Applied Mathematics and Mechanics, 5 (1):157--160, 2005.
  38. Baker, A.; Dellnitz, M.; Junge,O.:
    A topological method for rigorously computing periodic orbits using Fourier modes,
    Discrete and Continuous Dynamical Systems, 13 (4): 901-920, 2005.
  39. Dellnitz, M.; Junge, O.; Wang, F.:
    Exploring the dynamics of nonlinear models for a piezoceramic,
    Proceedings of the ENOC, to appear, 2005.
  40. Dellnitz, M.; Junge, O.; Lo, M.W.; Marsden, J.E.; Padberg, K.; Thiere, B.:
    Transport of Mars-crossing asteroids from the quasi-Hilda region,
    Physical Review Letters, 94, 231102, 2005.
  41. Junge, O.; Marsden, J.E.; Ober-Blöbaum, S.:
    Discrete mechanics and optimal control,
    Proceedings of the 16th IFAC World Congress, 2005.
  42. 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: 763-792, 2005.
  43. Dellnitz, M.; Junge, O.; Koon, W.S.; Lekien, F.; Lo, M.W.; Marsden, J.E.; Padberg, K.; Preis, R.; Ross, Sh.D.; Thiere, B.:
    Transport in Dynamical Astronomy and Multibody Problems,
    International Journal of Bifurcation and Chaos, 15 (3), 699-727, 2005.
  44. Grüne, L.; Junge, O.:
    A set oriented approach to optimal feedback stabilization
    Systems and Control Letters, 54 (2):169-180, 2005.
  45. Day, S.; Junge, O.; Mischaikow, K.:
    Towards automized chaos verification,
    Proceedings of the International Conference on Differential Equations, 2005.
  46. Junge, O.; Marsden, J.E.; Mezic, I.:
    Uncertainty in the Dynamics of Conservative Maps,
    Proceedings of the 43rd IEEE CDC, 2004.
  47. Junge, O.; Osinga, H.:
    A set oriented approach to global optimal control,
    ESAIM: Control, Optimisation and Calculus of Variations, 10 (2):259-270, 2004.
  48. 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, 3 (2):117-160, 2004.
  49. Junge, O.:Computing specific isolating neighborhoods,
    Progress in analysis, Vol. I, II (Berlin, 2001), World Sci. Publishing, 2003.
  50. Dellnitz, M.; Junge, O.:
    Set oriented numerical methods for dynamical systems,
    B. Fiedler, G. Iooss and N. Kopell (eds.): Handbook of Dynamical Systems III: Towards Applications, World Scientific, 2002.
  51. Junge, O.; Levenhagen, J.; Seifried, A.; Dellnitz, M.:
    Identification of Halo orbits for energy efficient formation flying,
    Proceedings of the International Symposium Formation Flying, Toulouse, 2002.
  52. Dellnitz, M.; Junge, O.; Lo, M.; Thiere, B.:
    On the detection of energetically efficient trajectories for spacecraft,
    AAS/AIAA Astrodynamics Specialist Conference, Quebec City, Paper No. AAS 01-326, 2001.
  53. Dellnitz, M.; Froyland, G.; Junge, O.:
    The algorithms behind GAIO - Set oriented numerical methods for dynamical systems,
    B. Fiedler (ed.): Ergodic theory, analysis, and efficient simulation of dynamical systems, Springer, 2001.
  54. Junge, O.:
    An adaptive subdivision technique for the approximation of attractors and invariant measures: Proof of convergence,
    Dynamical Systems, 16 (3), 2001.
  55. Dellnitz, M.; Junge, O.; Thiere, B.:
    The numerical detection of connecting orbits,
    Discrete and Continuous Dynamical Systems (Series B), 1 (1), 2001.
  56. Froyland, G.; Junge, O.; Ochs, G.:
    Rigorous computation of topological entropy with respect to a finite partition,
    Physica D, 154, 2001.
  57. Dellnitz, M.; Junge, O.; Rumpf, M.; Strzodka, R.:
    The computation of an unstable invariant set inside a cylinder containing a knotted flow,
    Proceedings of EQUADIFF 99, World Scientific, 2000.
  58. Junge, O.:
    Rigorous discretization of subdivision techniques,
    Proceedings of EQUADIFF 99, World Scientific, 2000.
  59. Bürkle, D.; Dellnitz, M.; Junge, O.; Rumpf, M.; Spielberg, M.:
    Visualizing complicated dynamics,
    Proceedings of Visualization '99, 2000.
  60. Dellnitz, M.; Junge, O.:
    On the approximation of complicated dynamical behavior,
    SIAM Journal on Numerical Analysis, 36 (2), 1999.
  61. Deuflhard, P.; Dellnitz, M.; Junge,O.; Schütte, Ch.:
    Computation of essential molecular dynamics by subdivision techniques,
    P. Deuflhard, J. Hermans, B. Leimkuhler, A.E. Mark, S. Reich and R.D. Skeel (eds): Computational Molecular Dynamics: Challenges, Methods, Ideas; Springer Lecture Notes in Computational Science and Engineering, 4, 1998.
  62. Dellnitz, M.; Junge, O.:
    An adaptive subdivision technique for the approximation of attractors and invariant measures,
    Computation and Visualization in Science, 1, 1998.
  63. Dellnitz, M.; Junge, O.:
    Almost invariant sets in Chua's circuit,
    International Journal of Bifurcation and Chaos, 7 (11), 1997.
  64. Dellnitz, M.; Hohmann, A.; Junge, O.; Rumpf, M.:
    Exploring invariant sets and invariant measures,
    CHAOS: An Interdisciplinary Journal of Nonlinear Science, 7 (2), 1997.

Theses and Other Publications

  1. Junge, O.:
    Mengenorientierte Methoden zur numerischen Analyse dynamischer Systeme Pfeil,
    Dissertation Universität Paderborn, Shaker Pfeil, 2000.
  2. Dellnitz, M.; Junge, O.; Thiere, B.:
    Umsonst durchs All - Mathematische Methoden in der Raumfahrt,
    Forschungsforum Paderborn, 2001.
  3. Junge, O.; Preis, R.:
    Gibt es Leben im All? Untersuchungen zum Formationsflug von Raumfahrzeugen,
    Forschungsforum Paderborn, 2003.