3.
A.
de Diego Unanue, G. Froyland, O. Junge, and P. Koltai, "
A dynamic p-laplacian," arXiv eprint
2308.05947 (2023).
4.
F.
Antown, G. Froyland, and O. Junge, "Linear response for the dynamic
laplacian and finite-time coherent sets," Nonlinearity
34, 3337 (2021).
5.
N.
Schilling, D. Karrasch, and O. Junge, "Heat-content and diffusive
leakage from material sets in the low-diffusivity limit," Nonlinearity
34, 7303 (2021).
6.
N.
Schilling, G. Froyland, and O. Junge, "Higher-order finite element
approximation of the dynamic laplacian," ESAIM: Mathematical Modelling
and Numerical Analysis 54, 1777–1795 (2020).
7.
U.
Bauer, D. Hien, O. Junge, K. Mischaikow, and M. Snijders, "Combinatorial
models of global dynamics: Learning cycling motion from data," arXiv
preprint arXiv:2001.07066 (2020).
8.
L.
Grüne and O. Junge, "From bellman to dijkstra: Set-oriented construction
of globally optimal controllers," in Advances in Dynamics,
Optimization and Computation: A Volume Dedicated to Michael Dellnitz on
the Occasion of His 60th Birthday (Springer International
Publishing, 2020), pp. 265–294.
9.
O.
Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle,
"Advances in dynamics, optimization and computation: A volume dedicated
to michael dellnitz on the occasion of his 60th birthday," (2020).
10.
C.
Ludwig, O. Junge, and U. Wever, "Online parameter identification methods
for oscillatory systems: Estimation of changes in stiffness properties,"
Journal of Vibration and Control 25, 725–738
(2019).
11.
C.
Schneide, M. Stahn, A. Pandey, O. Junge, P. Koltai, K. Padberg-Gehle,
and J. Schumacher, "Lagrangian coherent sets in turbulent
rayleigh-bénard convection," Physical Review E
100, 053103 (2019).
12.
B.
Söllner and O. Junge, "A convergent lagrangian discretization for p-wasserstein and flux-limited
diffusion equations," arXiv preprint arXiv:1906.01321 (2019).
13.
G.
Froyland and O. Junge, "Robust FEM-based extraction of finite-time
coherent sets using scattered, sparse, and incomplete trajectories,"
SIAM Journal on Applied Dynamical Systems 17, 1891–1924
(2018).
14.
O.
Junge and I. G. Kevrekidis, "On the sighting of unicorns: A variational
approach to computing invariant sets in dynamical systems," Chaos: An
Interdisciplinary Journal of Nonlinear Science 27,
063102 (2017).
15.
O.
Junge, D. Matthes, and H. Osberger, "A fully discrete variational scheme
for solving nonlinear fokker–planck equations in multiple space
dimensions," SIAM Journal on Numerical Analysis 55,
419–443 (2017).
16.
G.
Ferretti, R. Ferretti, O. Junge, and A. Schreiber, "An adaptive
multilevel radial basis function scheme for the HJB equation,"
IFAC-PapersOnLine 50, 1643–1648 (2017).
17.
L.
Grüne and O. Junge, Gewöhnliche
Differentialgleichungen (Springer Fachmedien Wiesbaden,
2016).
18.
A.
Bittracher, P. Koltai, and O. Junge, "Pseudogenerators of spatial
transfer operators," SIAM Journal on Applied Dynamical Systems
14, 1478–1517 (2015).
19.
A.
Bittracher, C. Hartmann, O. Junge, and P. Koltai, "Pseudo generators for
under-resolved molecular dynamics," The European Physical Journal
Special Topics 224, 2463–2490 (2015).
20.
G.
Froyland and O. Junge, "On fast computation of finite-time coherent sets
using radial basis functions," Chaos: An Interdisciplinary Journal of
Nonlinear Science 25, 087409 (2015).
21.
O.
Junge, D. Matthes, and H. Osberger, "A fully discrete variational scheme
for solving nonlinear fokker-planck equations in higher space
dimensions," arXiv preprint arXiv:1509.07721 (2015).
22.
A.
Denner, O. Junge, and D. Matthes, "Computing coherent sets using the
fokker-planck equation," arXiv preprint arXiv:1512.03761 (2015).
23.
G.
Froyland, O. Junge, and K. Padberg-Gehle, "Preface: Special issue on the
occasion of the 4th international workshop on set-oriented numerics (SON
13, dresden, 2013)," Journal of Computational Dynamics
2, i–ii (2015).
24.
S.
Jerg, O. Junge, and M. Post, "Global optimal feedbacks for stochastic
quantized nonlinear event systems," Journal of Computational Dynamics
1, 163–176 (2014).
25.
P.
Aston and O. Junge, "Computing the invariant measure and the lyapunov
exponent for one-dimensional maps using a measure-preserving polynomial
basis," Mathematics of Computation 83, 1869–1902
(2014).
26.
P.
Koltai and O. Junge, "Optimal value functions for weakly coupled
systems: A posteriori estimates," ZAMM-Journal of Applied Mathematics
and Mechanics/Zeitschrift für Angewandte Mathematik und
Mechanik 94, 345–355 (2014).
27.
L.
Grüne, S. Hirche, O. Junge, P. Koltai, D. Lehmann, J. Lunze, A. Molin,
R. Sailer, M. Sigurani, C. Stöcker, and others, "Event-based control,"
Control theory of digitally networked dynamic systems 169–261
(2014).
28.
K.
Tichmann and O. Junge, "A fully implicit alternating direction method of
multipliers for the minimization of convex problems with an application
to motion segmentation," in IEEE Winter Conference on Applications
of Computer Vision (IEEE, 2014), pp. 823–830.
29.
O.
Junge and A. Schreiber, "Dynamic programming using radial basis
functions," arXiv preprint arXiv:1405.4002 (2014).
30.
M.
Bongini, M. Fornasier, O. Junge, and B. Scharf, "Sparse control of
alignment models in high dimension," arXiv preprint arXiv:1408.6362
(2014).
31.
G.
Froyland, O. Junge, and P. Koltai, "Estimating long-term behavior of
flows without trajectory integration: The infinitesimal generator
approach," SIAM Journal on Numerical Analysis 51,
223–247 (2013).
32.
C.
M. Campos, O. Junge, and S. Ober-Blöbaum, "Higher order variational time
discretization of optimal control problems," arXiv preprint
arXiv:1204.6171 (2012).
33.
S.
Jerg and O. Junge, "Lazy global feedbacks for quantized nonlinear event
systems," IFAC Proceedings Volumes 45, 294–301
(2012).
34.
S.
Ober-Blöbaum, O. Junge, and J. E. Marsden, "Discrete mechanics and
optimal control: An analysis," ESAIM: Control, Optimisation and Calculus
of Variations 17, 322–352 (2011).
35.
L.
Grüne, S. Jerg, O. Junge, D. Lehmann, J. Lunze, F. Müller, and M. Post,
"Two complementary approaches to event-based control zwei
komplementäre zugänge zur ereignisbasierten
regelung," at-Automatisierungstechnik 58, 173–182
(2010).
36.
S.
Jerg and O. Junge, "Delay-optimal global feedbacks for quantized
networked event systems," in Proceedings of the 19th International
Symposium on Mathematical Theory of Networks and Systems–MTNS, No.
9 (2010), Vol. 5.
37.
O.
Schütze, M. Vasile, O. Junge, M. Dellnitz, and D. Izzo, "Designing
optimal low-thrust gravity-assist trajectories using space pruning and a
multi-objective approach," Engineering Optimization 41,
155–181 (2009).
38.
L.
Grüne and O. Junge, "Set oriented construction of globally optimal
controllers mengenorientierte konstruktion global optimaler regler,"
at-Automatisierungstechnik 57, 287–295 (2009).
39.
G.
Friesecke, O. Junge, and P. Koltai, "Mean field approximation in
conformation dynamics," Multiscale Modeling & Simulation
8, 254–268 (2009).
40.
S.
Jerg, O. Junge, and S. D. Ross, "Optimal capture trajectories using
multiple gravity assists," Communications in Nonlinear Science and
Numerical Simulation 14, 4168–4175 (2009).
41.
O.
Junge and P. Koltai, "Discretization of the frobenius–perron operator
using a sparse haar tensor basis: The sparse ulam method," SIAM Journal
on Numerical Analysis 47, 3464–3485 (2009).
42.
L.
Grüne and O. Junge, "Global optimal control of perturbed systems,"
Journal of Optimization Theory and Applications 136,
411–429 (2008).
43.
L.
Grune and O. Junge, "Approximately optimal nonlinear stabilization with
preservation of the lyapunov function property," in 2007 46th IEEE
Conference on Decision and Control (IEEE, 2007), pp. 702–707.
44.
K.
Padberg, T. Hauff, F. Jenko, and O. Junge, "Lagrangian structures and
transport in turbulent magnetized plasmas," New Journal of Physics
9, 400 (2007).
45.
L.
Grüne and O. Junge, "An efficient algorithm for perturbed shortest path
problems," in PAMM: Proceedings in Applied Mathematics and
Mechanics, No. 1 (WILEY-VCH Verlag Berlin, 2007), Vol. 7, pp.
1025003–1025004.
46.
O.
Junge, 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
(IEEE, 2006), pp. 5210–5215.
47.
M.
Dellnitz, O. Junge, M. Post, and B. Thiere, "On target for venus–set
oriented computation of energy efficient low thrust trajectories,"
Celestial Mechanics and Dynamical Astronomy 95, 357–370
(2006).
48.
M.
Vasile, O. Schütze, O. Junge, G. Radice, M. Dellnitz, and D. Izzo,
"Spiral trajectories in global optimisation of interplanetary and
orbital transfers," Ariadna study report ao4919 5, 4106
(2006).
49.
M.
Dellnitz, O. Junge, A. Krishnamurthy, and R. Preis, "Stable
communication topologies of a formation of satellites," Nonlinear
Dynamics and Systems Theory 6, 337–342 (2006).
50.
M.
Dellnitz, O. Junge, A. Krishnamurthy, S. Ober-Blöbaum, K. Padberg, and
R. Preis, "Efficient control of formation flying spacecraft," New Trends
in Parallel & Distributed Computing 181, 235–247
(2006).
51.
M.
Dellnitz and O. Junge, "Set oriented numerical methods in space mission
design," in Elsevier Astrodynamics Series
(Butterworth-Heinemann, 2006), Vol. 1, pp. 127–IV.
52.
O.
Junge, J. E. Marsden, and S. Ober-Blöbaum, "Discrete mechanics and
optimal control," IFAC Proceedings Volumes 38, 538–543
(2005).
53.
L.
Grüne and O. Junge, "A set oriented approach to optimal feedback
stabilization," Systems & control letters 54,
169–180 (2005).
54.
O.
Junge and S. Ober-Blobaum, "Optimal reconfiguration of formation flying
satellites," in Proceedings of the 44th IEEE Conference on Decision
and Control (IEEE, 2005), pp. 66–71.
55.
M.
Dellnitz, O. Junge, M. W. Lo, J. E. Marsden, K. Padberg, R. Preis, S. D.
Ross, and B. Thiere, "Transport of mars-crossing asteroids from the
quasi-hilda region," Physical Review Letters 94, 231102
(2005).
56.
S.
Day, O. Junge, and K. Mischaikow, "Towards automated chaos
verification," in EQUADIFF 2003 (2005), pp. 157–162.
57.
M.
Dellnitz, O. Junge, and F. Wang, "Exploring the dynamics of nonlinear
models for a piezoceramic," in Proceedings of the Fifth EUROMECH
Nonlinear Dynamics Conference (2005).
58.
L.
Grüne and O. Junge, "Constructing robust feedback laws by set oriented
numerical methods," in PAMM: Proceedings in Applied Mathematics and
Mechanics, No. 1 (WILEY-VCH Verlag Berlin, 2005), Vol. 5, pp.
157–160.
59.
A.
Baker, M. Dellnitz, and O. Junge, "Topological method for rigorously
computing periodic orbits using fourier modes," Discrete and Continuous
dynamical systems 13, 901 (2005).
60.
B.
Krauskopf, 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 15, 763–791 (2005).
61.
O.
Junge and H. M. Osinga, "A set oriented approach to global optimal
control," ESAIM: Control, optimisation and calculus of variations
10, 259–270 (2004).
62.
S.
Day, 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 3, 117–160
(2004).
63.
O.
Junge, 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) (IEEE, 2004), Vol. 2, pp.
2225–2230.
64.
O.
Junge, "Computing specific isolating neighborhoods," in Progress in
Analysis: (In 2 Volumes) (2003), pp. 571–576.
65.
M.
Dellnitz and O. Junge, "Set oriented numerical methods for dynamical
systems," Handbook of dynamical systems 2, 221
(2002).
66.
O.
JUNGE, J. LEVENHAGEN, A. SEIFRIED, and M. DELLNITZ, "Identification of
halo orbits for energy efficient formation flying," Earth
1, L3 (2002).
67.
O.
Junge, "An adaptive subdivision technique for the approximation of
attractors and invariant measures. Part II: Proof of convergence,"
Dynam. Syst. v16 213–222 (2002).
68.
M.
Dellnitz, O. Junge, M. Lo, and B. Thiere, "On the detection of
energetically efficient trajectories for spacecraft (AAS 01-326),"
ADVANCES IN THE ASTRONAUTICAL SCIENCES 109, 389–398
(2002).
69.
M.
Dellnitz, G. Froyland, and O. Junge, "The algorithms behind GAIO—set
oriented numerical methods for dynamical systems," in Ergodic
Theory, Analysis, and Efficient Simulation of Dynamical Systems
(Springer Berlin Heidelberg, 2001), pp. 145–174.
70.
G.
Froyland, O. Junge, and G. Ochs, "Rigorous computation of topological
entropy with respect to a finite partition," Physica D: Nonlinear
Phenomena 154, 68–84 (2001).
71.
O.
Junge, "An adaptive subdivision technique for the approximation of
attractors and invariant measures: Proof of convergence," Dynamical
Systems: An International Journal 16, 213–222
(2001).
72.
M.
Dellnitz, O. Junge, and B. Thiere, "The numerical detection of
connecting orbits," Discrete and Continuous Dynamical Systems Series B
1, 125–135 (2001).
73.
M.
Dellnitz, O. Junge, M. Lo, and B. Thiere, "On the detection of
energetically efficient trajectories for spacecraft," (2001).
74.
O.
Junge, "Rigorous discretization of subdivision techniques," in
Equadiff 99: (In 2 Volumes) (2000), pp. 916–918.
75.
M.
Dellnitz, O. Junge, M. Rumpf, and R. Strzodka, "The computation of an
unstable invariant set inside a cylinder containing a knotted flow," in
Equadiff 99: (In 2 Volumes) (2000), pp. 1053–1059.
76.
O.
Junge, "Mengenorientierte methoden zur numerischen analyse dynamischer
systeme," PhD thesis, Shaker (2000).
77.
M.
Dellnitz and O. Junge, "On the approximation of complicated dynamical
behavior," SIAM Journal on Numerical Analysis 36,
491–515 (1999).
78.
P.
Deuflhard, M. Dellnitz, O. Junge, and C. Schütte, "Computation of
essential molecular dynamics by subdivision techniques," in
Computational Molecular Dynamics: Challenges, Methods, Ideas
(Springer, Berlin, Heidelberg, 1999), pp. 98–115.
79.
D.
Bürkle, M. Dellnitz, O. Junge, M. Rumpf, and M. Spielberg, "Visualizing
complicated dynamics," (1999).
80.
M.
Dellnitz and O. Junge, "An adaptive subdivision technique for the
approximation of attractors and invariant measures," Computing and
Visualization in Science 1, 63–68 (1998).
81.
M.
Dellnitz, A. Hohmann, O. Junge, and M. Rumpf, "Exploring invariant sets
and invariant measures," CHAOS: An Interdisciplinary Journal of
Nonlinear Science 7, 221–228 (1997).
82.
M.
Dellnitz and O. Junge, "Almost invariant sets in chua’s circuit,"
International Journal of Bifurcation and Chaos 7,
2475–2485 (1997).