Preprints
- Bauer, U.; Hien, D.; Junge, O.; Mischaikow, K.; Snijders, M.:
Combinatorial models of global dynamics: learning cycling motion from data,
Submitted, 2020.
Books
- Grüne, L.; Junge, O.:
Gewöhnliche Differentialgleichungen - Eine Einführung aus der Perspektive der dynamischen Systeme,
Vieweg+Teubner, 2008.
Research papers and book chapters
- Nathanael Schilling, Daniel Karrasch, and Oliver Junge:
Heat-content and diffusive leakage from material sets in the low-diffusivity limit,
Nonlinearity, 34(10), pp. 7303–7321, 2021.
- Fadi Antown, Gary Froyland, Oliver Junge:
Linear response for the dynamic Laplacian and finite-time coherent sets,
Nonlinearity, 34(5), pp. 3337–3355, 2021. - Grüne, L., Junge, O.:
From Bellman to Dijkstra: Set-oriented construction of globally optimal controllers,
Studies in Systems, Decision and Control, 304, pp. 265–294, 2020. - Junge, O.; Söllner, B.:
A convergent Lagrangian discretization for p-Wasserstein and flux-limited diffusion equations,
Communications on Pure and Applied Analysis, 19 (9), pp. 4227–4256, 2020. - Schilling, N.; Froyland, G.; Junge, O.:
Higher-Order Finite Element Approximation of the Dynamic Laplacian,
ESAIM: Mathematical Modelling and Numerical Analysis, 54 (5), pp. 1777–1795, 2020. - Schneide, C.; Plonka, M.; Schilling, N.; Pandey, A.; Junge, O.; Koltai, P.; Padberg-Gehle, K.; Schumacher, J.:
Lagrangian coherent sets in turbulent Rayleigh-Bénard convection,
Physical Review E, 110(5), 2019.
- Ludwig, C.; Junge, O.; Wever, U.:
Online parameter identification methods for oscillatory systems: Estimation of changes in stiffness properties.
Journal of Vibration and Control, 25 (4), pp. 725-738, 2019.
- Froyland, G.; Junge, O.:
Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories,
SIAM J. Appl. Dyn. Syst. 17 (2), p. 1891-1924, 2018. - Junge, O.; Kevrekidis, I.G.:
On the sighting of unicorns: a variational approach to computing invariant sets in dynamical systems,
CHAOS, 27 (6), 2017. DOI - 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. - Junge, O.; Matthes, D.; Osberger, H.:
A fully discrete variational scheme for solving nonlinear Fokker-Planck equations in higher space dimensions,
SIAM J. Numer. Anal. 55 (1), p. 419-443, 2017. DOI - Denner, A.; Junge, O.; Matthes, D.:
Computing Coherent Sets using the Fokker-Planck Equation,
J. Comp. Dyn., 3 (2), p.3-18, 2016. DOI - Bittracher, A.; Hartmann, C.; Junge, O.; Koltai, P.:
Pseudo generators for under-resolved molecular dynamics,
Eur. Phys. J. Special Topics, 224 (12), p. 2463–2490, 2015. DOI - Bittracher, A,; Koltai P.; Junge, O.:
Pseudo generators of spatial transfer operators,
SIAM J. Appl. Dyn. Sys., 14 (3), p. 1487-1517, 2015. DOI - Froyland, G.; Junge, O.:
On fast computation of finite-time coherent sets using radial basis functions,
Chaos 25, 087409, 2015.
- Junge, O.; Schreiber, A.:
Dynamic programming using radial basis functions,
Discrete and Continuous Dynamical Systems A, 35 (9), p.4439 - 4453, 2015. - Bongini, M.; Fornasier, M.; Junge, O.; Scharf, B.:
Sparse Control of Alignment Models in High Dimension,
Networks and Heterogeneous Media, 10 (3), p. 647 - 697, 2015._ - 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. - Koltai, P.; Junge, O.:
Optimal value functions for weakly coupled systems: a posteriori estimates,
ZAMM 94(4), pp. 345-355, 2014. DOI 10.1002/zamm.201100138 - 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. - 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. - Aston, P,; Junge, O.:
Computing the Invariant Measure and the Lyapunov Exponent for One-Dimensional Maps using a Measure-Preserving Polynomial Basis.
Math. Comp., 2013. - Froyland, G,; Junge, O.; Koltai, P.:
Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach.
SIAM J. Numer. Anal., 51 (1), pp. 223–247, 2013.
- Campos, C.M.; Junge, O., Ober-Blöbaum, S.:
Higher order variational time discretization of optimal control problems,
in: Proc. 20th MTNS, Melbourne, Australia, 2013. - Jerg, S.; Junge, O.:
Lazy global feedbacks for quantized nonlinear event systems,
in: Proc. 7th IFAC Symposium on Robust Control Design, 7 (1), pp. 294-301, 2012. - Jerg, S.; Junge, O.:
Delay-optimal global feedbacks for quantized networked event systems,
in: Proc. 19th MNTS, Budapest, Hungary, pp. 1395-1398, 2010. - Ober-Blöbaum, S.; Junge, O.; Marsden, J.E.:
Discrete Mechanics and Optimal Control: an Analysis,
ESAIM: COCV, 17 (2), pp.322-352, 2010. - Grüne, L.; Jerg, S.; Junge, O.; Lehmann, D.; Lunze, J.; Müller, F.; Post, M.:
Two complementary approaches to event-based control,
at-Automatisierungstechnik, 58 (4), pp. 173-182, 2010.
- 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. - Friesecke, G.; Junge, O.; Koltai, P.:
Mean field approximation in conformation dynamics,
Multiscale Model. Simul., 8 (1), pp. 254-268, 2009.
- Junge, O.; Grüne, L.:
Set oriented construction of globally optimal controllers,
at - Automatisierungstechnik, 57 (6):287-295, 2009. 10.1524/auto.2009.0777
- 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 - 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. - Grüne, L.; Junge, O.:
Global optimal control of perturbed systems,
Journal of Optimization Theory and Applications, 136 (3), pp. 411-429, 2008 . - Grüne, L.; Junge, O.:
An efficient algorithm for perturbed shortest path problems,
PAMM 7 (1), pp. 1025003-1025004, 2007. 10.1002/pamm.200700714 - Padberg, K.; Hauff, Th.; Jenko, F.; Junge, O.:
Lagrangian structures and transport in turbulent magnetized plasmas,
New Journal of Physics 9 (2007) 400. - 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. - Vasile, M.; Schütze, O.; Junge, O.; Radice, G.; Dellnitz, M.:
Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers,
Technical Report, European Space Agency, Study AO 05/4106, 2007. - 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. - 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. - Dellnitz, M.; Junge, O.:
Set oriented numerical methods in space mission design,
Gurfil, P. (ed.): Modern Astrodynamics, Vol. I, pp. 127-153, Elsevier, 2006. - 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. - 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. - Junge, O.; Ober-Blöbaum, S.:
Optimal reconfiguration of formation flying satellites,
Proceedings of the 44th IEEE CDCD/ECC, to appear, 2006. - Grüne, L.; Junge, O.:
Constructing robust feedback laws by set oriented numerical methods,
Proceedings in Applied Mathematics and Mechanics, 5 (1):157--160, 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): 901-920, 2005. - Dellnitz, M.; Junge, O.; Wang, F.:
Exploring the dynamics of nonlinear models for a piezoceramic,
Proceedings of the ENOC, to appear, 2005. - 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. - Junge, O.; Marsden, J.E.; Ober-Blöbaum, S.:
Discrete mechanics and optimal control,
Proceedings of the 16th IFAC World Congress, 2005. - 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. - 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. - Grüne, L.; Junge, O.:
A set oriented approach to optimal feedback stabilization
Systems and Control Letters, 54 (2):169-180, 2005. - Day, S.; Junge, O.; Mischaikow, K.:
Towards automized chaos verification,
Proceedings of the International Conference on Differential Equations, 2005. - Junge, O.; Marsden, J.E.; Mezic, I.:
Uncertainty in the Dynamics of Conservative Maps,
Proceedings of the 43rd IEEE CDC, 2004. - Junge, O.; Osinga, H.:
A set oriented approach to global optimal control,
ESAIM: Control, Optimisation and Calculus of Variations, 10 (2):259-270, 2004. - 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. - Junge, O.:Computing specific isolating neighborhoods,
Progress in analysis, Vol. I, II (Berlin, 2001), World Sci. Publishing, 2003. - 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. - 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. - 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. - 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. - Junge, O.:
An adaptive subdivision technique for the approximation of attractors and invariant measures: Proof of convergence,
Dynamical Systems, 16 (3), 2001. - Dellnitz, M.; Junge, O.; Thiere, B.:
The numerical detection of connecting orbits,
Discrete and Continuous Dynamical Systems (Series B), 1 (1), 2001. - Froyland, G.; Junge, O.; Ochs, G.:
Rigorous computation of topological entropy with respect to a finite partition,
Physica D, 154, 2001. - 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. - Junge, O.:
Rigorous discretization of subdivision techniques,
Proceedings of EQUADIFF 99, World Scientific, 2000. - Bürkle, D.; Dellnitz, M.; Junge, O.; Rumpf, M.; Spielberg, M.:
Visualizing complicated dynamics,
Proceedings of Visualization '99, 2000. - Dellnitz, M.; Junge, O.:
On the approximation of complicated dynamical behavior,
SIAM Journal on Numerical Analysis, 36 (2), 1999. - 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. - Dellnitz, M.; Junge, O.:
An adaptive subdivision technique for the approximation of attractors and invariant measures,
Computation and Visualization in Science, 1, 1998. - Dellnitz, M.; Junge, O.:
Almost invariant sets in Chua's circuit,
International Journal of Bifurcation and Chaos, 7 (11), 1997. - 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
- Junge, O.:
Mengenorientierte Methoden zur numerischen Analyse dynamischer Systeme,
Dissertation Universität Paderborn, Shaker, 2000.
- Dellnitz, M.; Junge, O.; Thiere, B.:
Umsonst durchs All - Mathematische Methoden in der Raumfahrt,
Forschungsforum Paderborn, 2001. - Junge, O.; Preis, R.:
Gibt es Leben im All? Untersuchungen zum Formationsflug von Raumfahrzeugen,
Forschungsforum Paderborn, 2003.