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228 Publications
2021 | Dissertation | LibreCat-ID: 32057 | 
@book{Gerlach_2021, title={The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems}, DOI={10.17619/UNIPB/1-1278}, author={Gerlach, Raphael}, year={2021} }
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2000 | Book Chapter | LibreCat-ID: 17018
@inbook{Dellnitz_Junge_Rumpf_Strzodka_2000, title={The computation of an unstable invariant set inside a cylinder containing a knotted flow}, DOI={10.1142/9789812792617_0204}, booktitle={Equadiff 99}, author={Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Strzodka, Robert}, year={2000}, pages={1053--1059} }
LibreCat
| DOI
2014 | Journal Article | LibreCat-ID: 17043
@article{Baier_Dellnitz_Hessel-von Molo_Sertl_Kevrekidis_2014, title={The computation of convex invariant sets via Newton’s method}, volume={1}, DOI={10.3934/jcd.2014.1.39}, number={1}, journal={Journal of Computational Dynamics}, author={Baier, Robert and Dellnitz, Michael and Hessel-von Molo, Mirko and Sertl, Stefan and Kevrekidis, Ioannis G.}, year={2014}, pages={39–69} }
LibreCat
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2000 | Book Chapter | LibreCat-ID: 16513
@inbook{Aston_Dellnitz_2000, title={The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms}, DOI={10.1142/9789812792617_0196}, booktitle={Equadiff 99}, author={Aston, P. J. and Dellnitz, M.}, year={2000} }
LibreCat
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1999 | Journal Article | LibreCat-ID: 16511
@article{Aston_Dellnitz_1999, title={The computation of lyapunov exponents via spatial integration with application to blowout bifurcations}, DOI={10.1016/s0045-7825(98)00196-0}, journal={Computer Methods in Applied Mechanics and Engineering}, author={Aston, Philip J. and Dellnitz, Michael}, year={1999}, pages={223–237} }
LibreCat
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1996 | Book Chapter | LibreCat-ID: 16533
@inbook{Dellnitz_Hohmann_1996, place={Basel}, title={The Computation of Unstable Manifolds Using Subdivision and Continuation}, DOI={10.1007/978-3-0348-7518-9_21}, booktitle={Nonlinear Dynamical Systems and Chaos}, author={Dellnitz, Michael and Hohmann, Andreas}, year={1996} }
LibreCat
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1995 | Book Chapter | LibreCat-ID: 16611
@inbook{Golubitsky_Marsden_Stewart_Dellnitz_1995, place={Providence, Rhode Island}, title={The constrained Liapunov-Schmidt procedure and periodic orbits}, DOI={10.1090/fic/004/05}, booktitle={Normal Forms and Homoclinic Chaos}, author={Golubitsky, Martin and Marsden, Jerrold and Stewart, Ian and Dellnitz, Michael}, year={1995} }
LibreCat
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1993 | Journal Article | LibreCat-ID: 17013
@article{Dellnitz_1993, title={The equivariant Darboux theorem}, volume={29}, journal={Lectures in Applied Mathematics}, author={Dellnitz, Michael}, year={1993}, pages={163–169} }
LibreCat
2019 | Journal Article | LibreCat-ID: 16708
@article{Ziessler_Dellnitz_Gerlach_2019, title={The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques}, volume={18}, DOI={10.1137/18m1204395}, number={3}, journal={SIAM Journal on Applied Dynamical Systems}, author={Ziessler, Adrian and Dellnitz, Michael and Gerlach, Raphael}, year={2019}, pages={1265–1292} }
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2014 | Book Chapter | LibreCat-ID: 16577
@inbook{Dellnitz_Dumitrescu_Flaßkamp_Gausemeier_Hartmann_Iwanek_Korf_Krüger_Ober-Blöbaum_Porrmann_et al._2014, place={Berlin, Heidelberg}, title={The Paradigm of Self-optimization}, DOI={10.1007/978-3-642-45435-6_1}, booktitle={Lecture Notes in Mechanical Engineering}, author={Dellnitz, Michael and Dumitrescu, Roman and Flaßkamp, Kathrin and Gausemeier, Jürgen and Hartmann, Philip and Iwanek, Peter and Korf, Sebastian and Krüger, Martin and Ober-Blöbaum, Sina and Porrmann, Mario and et al.}, year={2014} }
LibreCat
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1993 | Journal Article | LibreCat-ID: 16634
@article{Melbourne_Dellnitz_Golubitsky_1993, title={The structure of symmetric attractors}, DOI={10.1007/bf00386369}, journal={Archive for Rational Mechanics and Analysis}, author={Melbourne, Ian and Dellnitz, Michael and Golubitsky, Martin}, year={1993}, pages={75–98} }
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2012 | Journal Article | LibreCat-ID: 16603
@article{Froyland_Horenkamp_Rossi_Santitissadeekorn_Gupta_2012, title={Three-dimensional characterization and tracking of an Agulhas Ring}, DOI={10.1016/j.ocemod.2012.05.001}, journal={Ocean Modelling}, author={Froyland, Gary and Horenkamp, Christian and Rossi, Vincent and Santitissadeekorn, Naratip and Gupta, Alex Sen}, year={2012}, pages={69–75} }
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2005 | Conference Paper | LibreCat-ID: 16525
@inproceedings{Day_Junge_Mischaikow_2005, title={Towards Automated Chaos Verification}, DOI={10.1142/9789812702067_0014}, booktitle={EQUADIFF 2003}, author={Day, Sarah and Junge, Oliver and Mischaikow, Konstantin}, year={2005} }
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2018 | Journal Article | LibreCat-ID: 16715
@article{Bittracher_Koltai_Klus_Banisch_Dellnitz_Schütte_2018, title={Transition Manifolds of Complex Metastable Systems}, volume={28}, DOI={10.1007/s00332-017-9415-0}, journal={Journal of Nonlinear Science}, author={Bittracher, Andreas and Koltai, Péter and Klus, Stefan and Banisch, Ralf and Dellnitz, Michael and Schütte, Christof}, year={2018}, pages={471–512} }
LibreCat
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2005 | Journal Article | LibreCat-ID: 16557
@article{Dellnitz_Junge_Koon_Lekien_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport in Dynamical Astronomy and Multibody Problems}, DOI={10.1142/s0218127405012545}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Junge, Oliver and Koon, Wang Sang and Lekien, Francois and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005}, pages={699–727} }
LibreCat
| DOI
2005 | Journal Article | LibreCat-ID: 16558
@article{Dellnitz_Junge_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region}, DOI={10.1103/physrevlett.94.231102}, journal={Physical Review Letters}, author={Dellnitz, Michael and Junge, Oliver and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005} }
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2004 | Conference Paper | LibreCat-ID: 16620
@inproceedings{Junge_Marsden_Mezic_2004, title={Uncertainty in the dynamics of conservative maps}, DOI={10.1109/cdc.2004.1430379}, booktitle={2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)}, author={Junge, O. and Marsden, J.E. and Mezic, I.}, year={2004} }
LibreCat
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2007 | Book Chapter | LibreCat-ID: 16640
@inbook{Monien_Preis_2007, place={Berlin, Heidelberg}, title={Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs}, DOI={10.1007/3-540-44683-4_46}, booktitle={Mathematical Foundations of Computer Science 2001}, author={Monien, Burkhard and Preis, Robert}, year={2007} }
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2006 | Journal Article | LibreCat-ID: 16641
@article{Monien_Preis_2006, title={Upper bounds on the Bisection Width of 3- and 4-regular Graphs}, DOI={10.1016/j.jda.2005.12.009}, journal={Journal of Discrete Algorithms}, author={Monien, Burkhard and Preis, Robert}, year={2006}, pages={475–498} }
LibreCat
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2022 | Preprint | LibreCat-ID: 34618 |
@article{Gebken_2022, title={Using second-order information in gradient sampling methods for nonsmooth optimization}, journal={arXiv:2210.04579}, author={Gebken, Bennet}, year={2022} }
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2014 | Journal Article | LibreCat-ID: 21936
@article{Nüske_Keller_Pérez-Hernández_Mey_Noé_2014, title={Variational Approach to Molecular Kinetics}, DOI={10.1021/ct4009156}, journal={Journal of Chemical Theory and Computation}, author={Nüske, Feliks and Keller, Bettina G. and Pérez-Hernández, Guillermo and Mey, Antonia S. J. S. and Noé, Frank}, year={2014}, pages={1739–1752} }
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2011 | Conference Paper | LibreCat-ID: 16588
@inproceedings{Flaßkamp_Ober-Blöbaum_2011, title={Variational formulation and optimal control of hybrid lagrangian systems}, DOI={10.1145/1967701.1967736}, booktitle={Proceedings of the 14th international conference on Hybrid systems: computation and control - HSCC ’11}, author={Flaßkamp, Kathrin and Ober-Blöbaum, Sina}, year={2011} }
LibreCat
| DOI
2014 | Conference Paper | LibreCat-ID: 17046
@inproceedings{Ober-Blöbaum_Lindhorst_2014, title={Variational formulation and structure-preserving discretization ofnonlinear electric circuits}, booktitle={21st International Symposium on Mathematical Theory of Networks and Systems}, author={Ober-Blöbaum, Sina and Lindhorst, Henning}, year={2014} }
LibreCat
2013 | Journal Article | LibreCat-ID: 17050
@article{Ober-Blöbaum_Tao_Cheng_Owhadi_Marsden_2013, title={Variational integrators for electric circuits}, volume={242}, DOI={10.1016/j.jcp.2013.02.006}, journal={Journal of Computational Physics}, author={Ober-Blöbaum, Sina and Tao, Molei and Cheng, Mulin and Owhadi, Houman and Marsden, Jerrold E.}, year={2013}, pages={498–530} }
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2017 | Journal Article | LibreCat-ID: 21939
@article{Wu_Nüske_Paul_Klus_Koltai_Noé_2017, title={Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations}, DOI={10.1063/1.4979344}, number={154104}, journal={The Journal of Chemical Physics}, author={Wu, Hao and Nüske, Feliks and Paul, Fabian and Klus, Stefan and Koltai, Péter and Noé, Frank}, year={2017} }
LibreCat
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2014 | Book Chapter | LibreCat-ID: 17044
@inbook{Leitz_Ober-Blöbaum_Leyendecker_2014, place={Cham}, title={Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration}, DOI={10.1007/978-3-319-07260-9}, booktitle={Multibody Dynamics}, publisher={Springer}, author={Leitz, Thomas and Ober-Blöbaum, Sina and Leyendecker, Sigrid}, editor={Terze, ZdravkoEditor}, year={2014} }
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2016 | Journal Article | LibreCat-ID: 21937
@article{Nüske_Schneider_Vitalini_Noé_2016, title={Variational tensor approach for approximating the rare-event kinetics of macromolecular systems}, DOI={10.1063/1.4940774}, number={054105}, journal={The Journal of Chemical Physics}, author={Nüske, Feliks and Schneider, Reinhold and Vitalini, Francesca and Noé, Frank}, year={2016} }
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1999 | Journal Article | LibreCat-ID: 17017
@article{Bürkle_Dellnitz_Junge_Rumpf_Spielberg_1999, title={Visualizing Complicated Dynamics}, journal={Proceedings of Visualization 99}, author={Bürkle, David and Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Spielberg, Michael}, year={1999} }
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