Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
228 Publications
2021 | Dissertation | LibreCat-ID: 32057 | 
Gerlach, R. (2021). The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. https://doi.org/10.17619/UNIPB/1-1278
LibreCat
| DOI
| Download (ext.)
2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz, M., Junge, O., Rumpf, M., & Strzodka, R. (2000). The computation of an unstable invariant set inside a cylinder containing a knotted flow. In Equadiff 99 (pp. 1053--1059). https://doi.org/10.1142/9789812792617_0204
LibreCat
| DOI
2014 | Journal Article | LibreCat-ID: 17043
Baier, R., Dellnitz, M., Hessel-von Molo, M., Sertl, S., & Kevrekidis, I. G. (2014). The computation of convex invariant sets via Newton’s method. Journal of Computational Dynamics, 1(1), 39–69. https://doi.org/10.3934/jcd.2014.1.39
LibreCat
| DOI
2000 | Book Chapter | LibreCat-ID: 16513
Aston, P. J., & Dellnitz, M. (2000). The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms. In Equadiff 99. https://doi.org/10.1142/9789812792617_0196
LibreCat
| DOI
1999 | Journal Article | LibreCat-ID: 16511
Aston, P. J., & Dellnitz, M. (1999). The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering, 223–237. https://doi.org/10.1016/s0045-7825(98)00196-0
LibreCat
| DOI
1996 | Book Chapter | LibreCat-ID: 16533
Dellnitz, M., & Hohmann, A. (1996). The Computation of Unstable Manifolds Using Subdivision and Continuation. In Nonlinear Dynamical Systems and Chaos. Basel. https://doi.org/10.1007/978-3-0348-7518-9_21
LibreCat
| DOI
1995 | Book Chapter | LibreCat-ID: 16611
Golubitsky, M., Marsden, J., Stewart, I., & Dellnitz, M. (1995). The constrained Liapunov-Schmidt procedure and periodic orbits. In Normal Forms and Homoclinic Chaos. Providence, Rhode Island. https://doi.org/10.1090/fic/004/05
LibreCat
| DOI
1993 | Journal Article | LibreCat-ID: 17013
Dellnitz, M. (1993). The equivariant Darboux theorem. Lectures in Applied Mathematics, 29, 163–169.
LibreCat
2019 | Journal Article | LibreCat-ID: 16708
Ziessler, A., Dellnitz, M., & Gerlach, R. (2019). The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems, 18(3), 1265–1292. https://doi.org/10.1137/18m1204395
LibreCat
| DOI
| Download (ext.)
2014 | Book Chapter | LibreCat-ID: 16577
Dellnitz, M., Dumitrescu, R., Flaßkamp, K., Gausemeier, J., Hartmann, P., Iwanek, P., … Vaßholz, M. (2014). The Paradigm of Self-optimization. In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45435-6_1
LibreCat
| DOI
1993 | Journal Article | LibreCat-ID: 16634
Melbourne, I., Dellnitz, M., & Golubitsky, M. (1993). The structure of symmetric attractors. Archive for Rational Mechanics and Analysis, 75–98. https://doi.org/10.1007/bf00386369
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16603
Froyland, G., Horenkamp, C., Rossi, V., Santitissadeekorn, N., & Gupta, A. S. (2012). Three-dimensional characterization and tracking of an Agulhas Ring. Ocean Modelling, 69–75. https://doi.org/10.1016/j.ocemod.2012.05.001
LibreCat
| DOI
2005 | Conference Paper | LibreCat-ID: 16525
Day, S., Junge, O., & Mischaikow, K. (2005). Towards Automated Chaos Verification. In EQUADIFF 2003. https://doi.org/10.1142/9789812702067_0014
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 16715
Bittracher, A., Koltai, P., Klus, S., Banisch, R., Dellnitz, M., & Schütte, C. (2018). Transition Manifolds of Complex Metastable Systems. Journal of Nonlinear Science, 28, 471–512. https://doi.org/10.1007/s00332-017-9415-0
LibreCat
| DOI
2005 | Journal Article | LibreCat-ID: 16557
Dellnitz, M., Junge, O., Koon, W. S., Lekien, F., Lo, M. W., Marsden, J. E., … Thiere, B. (2005). Transport in Dynamical Astronomy and Multibody Problems. International Journal of Bifurcation and Chaos, 699–727. https://doi.org/10.1142/s0218127405012545
LibreCat
| DOI
2005 | Journal Article | LibreCat-ID: 16558
Dellnitz, M., Junge, O., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R., … Thiere, B. (2005). Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. Physical Review Letters. https://doi.org/10.1103/physrevlett.94.231102
LibreCat
| DOI
2004 | Conference Paper | LibreCat-ID: 16620
Junge, O., Marsden, J. E., & Mezic, I. (2004). Uncertainty in the dynamics of conservative maps. In 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601). https://doi.org/10.1109/cdc.2004.1430379
LibreCat
| DOI
2007 | Book Chapter | LibreCat-ID: 16640
Monien, B., & Preis, R. (2007). Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs. In Mathematical Foundations of Computer Science 2001. Berlin, Heidelberg. https://doi.org/10.1007/3-540-44683-4_46
LibreCat
| DOI
2006 | Journal Article | LibreCat-ID: 16641
Monien, B., & Preis, R. (2006). Upper bounds on the Bisection Width of 3- and 4-regular Graphs. Journal of Discrete Algorithms, 475–498. https://doi.org/10.1016/j.jda.2005.12.009
LibreCat
| DOI
2022 | Preprint | LibreCat-ID: 34618 |
Gebken, B. (2022). Using second-order information in gradient sampling methods for nonsmooth optimization. In arXiv:2210.04579.
LibreCat
| Download (ext.)
| arXiv
2014 | Journal Article | LibreCat-ID: 21936
Nüske, F., Keller, B. G., Pérez-Hernández, G., Mey, A. S. J. S., & Noé, F. (2014). Variational Approach to Molecular Kinetics. Journal of Chemical Theory and Computation, 1739–1752. https://doi.org/10.1021/ct4009156
LibreCat
| DOI
2011 | Conference Paper | LibreCat-ID: 16588
Flaßkamp, K., & Ober-Blöbaum, S. (2011). Variational formulation and optimal control of hybrid lagrangian systems. In Proceedings of the 14th international conference on Hybrid systems: computation and control - HSCC ’11. https://doi.org/10.1145/1967701.1967736
LibreCat
| DOI
2014 | Conference Paper | LibreCat-ID: 17046
Ober-Blöbaum, S., & Lindhorst, H. (2014). Variational formulation and structure-preserving discretization ofnonlinear electric circuits. In 21st International Symposium on Mathematical Theory of Networks and Systems.
LibreCat
2013 | Journal Article | LibreCat-ID: 17050
Ober-Blöbaum, S., Tao, M., Cheng, M., Owhadi, H., & Marsden, J. E. (2013). Variational integrators for electric circuits. Journal of Computational Physics, 242, 498–530. https://doi.org/10.1016/j.jcp.2013.02.006
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 21939
Wu, H., Nüske, F., Paul, F., Klus, S., Koltai, P., & Noé, F. (2017). Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations. The Journal of Chemical Physics. https://doi.org/10.1063/1.4979344
LibreCat
| DOI
2014 | Book Chapter | LibreCat-ID: 17044
Leitz, T., Ober-Blöbaum, S., & Leyendecker, S. (2014). Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration. In Z. Terze (Ed.), Multibody Dynamics. Cham: Springer. https://doi.org/10.1007/978-3-319-07260-9
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 21937
Nüske, F., Schneider, R., Vitalini, F., & Noé, F. (2016). Variational tensor approach for approximating the rare-event kinetics of macromolecular systems. The Journal of Chemical Physics. https://doi.org/10.1063/1.4940774
LibreCat
| DOI
1999 | Journal Article | LibreCat-ID: 17017
Bürkle, D., Dellnitz, M., Junge, O., Rumpf, M., & Spielberg, M. (1999). Visualizing Complicated Dynamics. Proceedings of Visualization 99.
LibreCat