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220 Publications
2019 | Journal Article | LibreCat-ID: 16708 | 
The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques
A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems (2019) 1265–1292.
LibreCat
| DOI
| Download (ext.)
A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems (2019) 1265–1292.
2014 | Book Chapter | LibreCat-ID: 16577
The Paradigm of Self-optimization
M. Dellnitz, R. Dumitrescu, K. Flaßkamp, J. Gausemeier, P. Hartmann, P. Iwanek, S. Korf, M. Krüger, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, K. Stahl, A. Trächtler, M. Vaßholz, in: Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
LibreCat
| DOI
M. Dellnitz, R. Dumitrescu, K. Flaßkamp, J. Gausemeier, P. Hartmann, P. Iwanek, S. Korf, M. Krüger, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, K. Stahl, A. Trächtler, M. Vaßholz, in: Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
1993 | Journal Article | LibreCat-ID: 16634
The structure of symmetric attractors
I. Melbourne, M. Dellnitz, M. Golubitsky, Archive for Rational Mechanics and Analysis (1993) 75–98.
LibreCat
| DOI
I. Melbourne, M. Dellnitz, M. Golubitsky, Archive for Rational Mechanics and Analysis (1993) 75–98.
2012 | Journal Article | LibreCat-ID: 16603
Three-dimensional characterization and tracking of an Agulhas Ring
G. Froyland, C. Horenkamp, V. Rossi, N. Santitissadeekorn, A.S. Gupta, Ocean Modelling (2012) 69–75.
LibreCat
| DOI
G. Froyland, C. Horenkamp, V. Rossi, N. Santitissadeekorn, A.S. Gupta, Ocean Modelling (2012) 69–75.
2005 | Conference Paper | LibreCat-ID: 16525
Towards Automated Chaos Verification
S. Day, O. Junge, K. Mischaikow, in: EQUADIFF 2003, 2005.
LibreCat
| DOI
S. Day, O. Junge, K. Mischaikow, in: EQUADIFF 2003, 2005.
2018 | Journal Article | LibreCat-ID: 16715
Transition Manifolds of Complex Metastable Systems
A. Bittracher, P. Koltai, S. Klus, R. Banisch, M. Dellnitz, C. Schütte, Journal of Nonlinear Science 28 (2018) 471–512.
LibreCat
| DOI
A. Bittracher, P. Koltai, S. Klus, R. Banisch, M. Dellnitz, C. Schütte, Journal of Nonlinear Science 28 (2018) 471–512.
2005 | Journal Article | LibreCat-ID: 16557
Transport in Dynamical Astronomy and Multibody Problems
M. Dellnitz, O. Junge, W.S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, International Journal of Bifurcation and Chaos (2005) 699–727.
LibreCat
| DOI
M. Dellnitz, O. Junge, W.S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, International Journal of Bifurcation and Chaos (2005) 699–727.
2005 | Journal Article | LibreCat-ID: 16558
Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region
M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, Physical Review Letters (2005).
LibreCat
| DOI
M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, Physical Review Letters (2005).
2004 | Conference Paper | LibreCat-ID: 16620
Uncertainty in the dynamics of conservative maps
O. Junge, J.E. Marsden, I. Mezic, in: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004.
LibreCat
| DOI
O. Junge, J.E. Marsden, I. Mezic, in: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004.
2007 | Book Chapter | LibreCat-ID: 16640
Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs
B. Monien, R. Preis, in: Mathematical Foundations of Computer Science 2001, Berlin, Heidelberg, 2007.
LibreCat
| DOI
B. Monien, R. Preis, in: Mathematical Foundations of Computer Science 2001, Berlin, Heidelberg, 2007.
2006 | Journal Article | LibreCat-ID: 16641
Upper bounds on the Bisection Width of 3- and 4-regular Graphs
B. Monien, R. Preis, Journal of Discrete Algorithms (2006) 475–498.
LibreCat
| DOI
B. Monien, R. Preis, Journal of Discrete Algorithms (2006) 475–498.
2022 | Preprint | LibreCat-ID: 34618 |
Using second-order information in gradient sampling methods for nonsmooth optimization
B. Gebken, ArXiv:2210.04579 (2022).
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| arXiv
B. Gebken, ArXiv:2210.04579 (2022).
2014 | Journal Article | LibreCat-ID: 21936
Variational Approach to Molecular Kinetics
F. Nüske, B.G. Keller, G. Pérez-Hernández, A.S.J.S. Mey, F. Noé, Journal of Chemical Theory and Computation (2014) 1739–1752.
LibreCat
| DOI
F. Nüske, B.G. Keller, G. Pérez-Hernández, A.S.J.S. Mey, F. Noé, Journal of Chemical Theory and Computation (2014) 1739–1752.
2011 | Conference Paper | LibreCat-ID: 16588
Variational formulation and optimal control of hybrid lagrangian systems
K. Flaßkamp, S. Ober-Blöbaum, in: Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11, 2011.
LibreCat
| DOI
K. Flaßkamp, S. Ober-Blöbaum, in: Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11, 2011.
2014 | Conference Paper | LibreCat-ID: 17046
Variational formulation and structure-preserving discretization ofnonlinear electric circuits
S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
LibreCat
S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
2013 | Journal Article | LibreCat-ID: 17050
Variational integrators for electric circuits
S. Ober-Blöbaum, M. Tao, M. Cheng, H. Owhadi, J.E. Marsden, Journal of Computational Physics 242 (2013) 498–530.
LibreCat
| DOI
S. Ober-Blöbaum, M. Tao, M. Cheng, H. Owhadi, J.E. Marsden, Journal of Computational Physics 242 (2013) 498–530.
2017 | Journal Article | LibreCat-ID: 21939
Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations
H. Wu, F. Nüske, F. Paul, S. Klus, P. Koltai, F. Noé, The Journal of Chemical Physics (2017).
LibreCat
| DOI
H. Wu, F. Nüske, F. Paul, S. Klus, P. Koltai, F. Noé, The Journal of Chemical Physics (2017).
2014 | Book Chapter | LibreCat-ID: 17044
Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration
T. Leitz, S. Ober-Blöbaum, S. Leyendecker, in: Z. Terze (Ed.), Multibody Dynamics, Springer, Cham, 2014.
LibreCat
| DOI
T. Leitz, S. Ober-Blöbaum, S. Leyendecker, in: Z. Terze (Ed.), Multibody Dynamics, Springer, Cham, 2014.
2016 | Journal Article | LibreCat-ID: 21937
Variational tensor approach for approximating the rare-event kinetics of macromolecular systems
F. Nüske, R. Schneider, F. Vitalini, F. Noé, The Journal of Chemical Physics (2016).
LibreCat
| DOI
F. Nüske, R. Schneider, F. Vitalini, F. Noé, The Journal of Chemical Physics (2016).
1999 | Journal Article | LibreCat-ID: 17017
Visualizing Complicated Dynamics
D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, M. Spielberg, Proceedings of Visualization 99 (1999).
LibreCat
D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, M. Spielberg, Proceedings of Visualization 99 (1999).