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228 Publications
2021 | Dissertation | LibreCat-ID: 32057 | 
Gerlach, Raphael. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021. https://doi.org/10.17619/UNIPB/1-1278.
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2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz, Michael, Oliver Junge, Martin Rumpf, and Robert Strzodka. “The Computation of an Unstable Invariant Set inside a Cylinder Containing a Knotted Flow.” In Equadiff 99, 1053--1059, 2000. https://doi.org/10.1142/9789812792617_0204.
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2014 | Journal Article | LibreCat-ID: 17043
Baier, Robert, Michael Dellnitz, Mirko Hessel-von Molo, Stefan Sertl, and Ioannis G. Kevrekidis. “The Computation of Convex Invariant Sets via Newton’s Method.” Journal of Computational Dynamics 1, no. 1 (2014): 39–69. https://doi.org/10.3934/jcd.2014.1.39.
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2000 | Book Chapter | LibreCat-ID: 16513
Aston, P. J., and M. Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms.” In Equadiff 99, 2000. https://doi.org/10.1142/9789812792617_0196.
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1999 | Journal Article | LibreCat-ID: 16511
Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration with Application to Blowout Bifurcations.” Computer Methods in Applied Mechanics and Engineering, 1999, 223–37. https://doi.org/10.1016/s0045-7825(98)00196-0.
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1996 | Book Chapter | LibreCat-ID: 16533
Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds Using Subdivision and Continuation.” In Nonlinear Dynamical Systems and Chaos. Basel, 1996. https://doi.org/10.1007/978-3-0348-7518-9_21.
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1995 | Book Chapter | LibreCat-ID: 16611
Golubitsky, Martin, Jerrold Marsden, Ian Stewart, and Michael Dellnitz. “The Constrained Liapunov-Schmidt Procedure and Periodic Orbits.” In Normal Forms and Homoclinic Chaos. Providence, Rhode Island, 1995. https://doi.org/10.1090/fic/004/05.
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1993 | Journal Article | LibreCat-ID: 17013
Dellnitz, Michael. “The Equivariant Darboux Theorem.” Lectures in Applied Mathematics 29 (1993): 163–69.
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler, Adrian, Michael Dellnitz, and Raphael Gerlach. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” SIAM Journal on Applied Dynamical Systems 18, no. 3 (2019): 1265–92. https://doi.org/10.1137/18m1204395.
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2014 | Book Chapter | LibreCat-ID: 16577
Dellnitz, Michael, Roman Dumitrescu, Kathrin Flaßkamp, Jürgen Gausemeier, Philip Hartmann, Peter Iwanek, Sebastian Korf, et al. “The Paradigm of Self-Optimization.” In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg, 2014. https://doi.org/10.1007/978-3-642-45435-6_1.
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1993 | Journal Article | LibreCat-ID: 16634
Melbourne, Ian, Michael Dellnitz, and Martin Golubitsky. “The Structure of Symmetric Attractors.” Archive for Rational Mechanics and Analysis, 1993, 75–98. https://doi.org/10.1007/bf00386369.
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2012 | Journal Article | LibreCat-ID: 16603
Froyland, Gary, Christian Horenkamp, Vincent Rossi, Naratip Santitissadeekorn, and Alex Sen Gupta. “Three-Dimensional Characterization and Tracking of an Agulhas Ring.” Ocean Modelling, 2012, 69–75. https://doi.org/10.1016/j.ocemod.2012.05.001.
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2005 | Conference Paper | LibreCat-ID: 16525
Day, Sarah, Oliver Junge, and Konstantin Mischaikow. “Towards Automated Chaos Verification.” In EQUADIFF 2003, 2005. https://doi.org/10.1142/9789812702067_0014.
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2018 | Journal Article | LibreCat-ID: 16715
Bittracher, Andreas, Péter Koltai, Stefan Klus, Ralf Banisch, Michael Dellnitz, and Christof Schütte. “Transition Manifolds of Complex Metastable Systems.” Journal of Nonlinear Science 28 (2018): 471–512. https://doi.org/10.1007/s00332-017-9415-0.
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2005 | Journal Article | LibreCat-ID: 16557
Dellnitz, Michael, Oliver Junge, Wang Sang Koon, Francois Lekien, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport in Dynamical Astronomy and Multibody Problems.” International Journal of Bifurcation and Chaos, 2005, 699–727. https://doi.org/10.1142/s0218127405012545.
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2005 | Journal Article | LibreCat-ID: 16558
Dellnitz, Michael, Oliver Junge, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region.” Physical Review Letters, 2005. https://doi.org/10.1103/physrevlett.94.231102.
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2004 | Conference Paper | LibreCat-ID: 16620
Junge, O., 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), 2004. https://doi.org/10.1109/cdc.2004.1430379.
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2007 | Book Chapter | LibreCat-ID: 16640
Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” In Mathematical Foundations of Computer Science 2001. Berlin, Heidelberg, 2007. https://doi.org/10.1007/3-540-44683-4_46.
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2006 | Journal Article | LibreCat-ID: 16641
Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” Journal of Discrete Algorithms, 2006, 475–98. https://doi.org/10.1016/j.jda.2005.12.009.
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2022 | Preprint | LibreCat-ID: 34618 |
Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods for Nonsmooth Optimization.” ArXiv:2210.04579, 2022.
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2014 | Journal Article | LibreCat-ID: 21936
Nüske, Feliks, Bettina G. Keller, Guillermo Pérez-Hernández, Antonia S. J. S. Mey, and Frank Noé. “Variational Approach to Molecular Kinetics.” Journal of Chemical Theory and Computation, 2014, 1739–52. https://doi.org/10.1021/ct4009156.
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2011 | Conference Paper | LibreCat-ID: 16588
Flaßkamp, Kathrin, and Sina Ober-Blöbaum. “Variational Formulation and Optimal Control of Hybrid Lagrangian Systems.” In Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11, 2011. https://doi.org/10.1145/1967701.1967736.
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2014 | Conference Paper | LibreCat-ID: 17046
Ober-Blöbaum, Sina, and Henning Lindhorst. “Variational Formulation and Structure-Preserving Discretization Ofnonlinear Electric Circuits.” In 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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2013 | Journal Article | LibreCat-ID: 17050
Ober-Blöbaum, Sina, Molei Tao, Mulin Cheng, Houman Owhadi, and Jerrold E. Marsden. “Variational Integrators for Electric Circuits.” Journal of Computational Physics 242 (2013): 498–530. https://doi.org/10.1016/j.jcp.2013.02.006.
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2017 | Journal Article | LibreCat-ID: 21939
Wu, Hao, Feliks Nüske, Fabian Paul, Stefan Klus, Péter Koltai, and Frank Noé. “Variational Koopman Models: Slow Collective Variables and Molecular Kinetics from Short off-Equilibrium Simulations.” The Journal of Chemical Physics, 2017. https://doi.org/10.1063/1.4979344.
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2014 | Book Chapter | LibreCat-ID: 17044
Leitz, Thomas, Sina Ober-Blöbaum, and Sigrid Leyendecker. “Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration.” In Multibody Dynamics, edited by Zdravko Terze. Cham: Springer, 2014. https://doi.org/10.1007/978-3-319-07260-9.
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2016 | Journal Article | LibreCat-ID: 21937
Nüske, Feliks, Reinhold Schneider, Francesca Vitalini, and Frank Noé. “Variational Tensor Approach for Approximating the Rare-Event Kinetics of Macromolecular Systems.” The Journal of Chemical Physics, 2016. https://doi.org/10.1063/1.4940774.
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1999 | Journal Article | LibreCat-ID: 17017
Bürkle, David, Michael Dellnitz, Oliver Junge, Martin Rumpf, and Michael Spielberg. “Visualizing Complicated Dynamics.” Proceedings of Visualization 99, 1999.
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