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228 Publications
2021 | Dissertation | LibreCat-ID: 32057 | 
The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
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| DOI
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R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
2000 | Book Chapter | LibreCat-ID: 17018
The computation of an unstable invariant set inside a cylinder containing a knotted flow
M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka, in: Equadiff 99, 2000, pp. 1053--1059.
LibreCat
| DOI
M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka, in: Equadiff 99, 2000, pp. 1053--1059.
2014 | Journal Article | LibreCat-ID: 17043
The computation of convex invariant sets via Newton's method
R. Baier, M. Dellnitz, M. Hessel-von Molo, S. Sertl, I.G. Kevrekidis, Journal of Computational Dynamics 1 (2014) 39–69.
LibreCat
| DOI
R. Baier, M. Dellnitz, M. Hessel-von Molo, S. Sertl, I.G. Kevrekidis, Journal of Computational Dynamics 1 (2014) 39–69.
2000 | Book Chapter | LibreCat-ID: 16513
The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms
P.J. Aston, M. Dellnitz, in: Equadiff 99, 2000.
LibreCat
| DOI
P.J. Aston, M. Dellnitz, in: Equadiff 99, 2000.
1999 | Journal Article | LibreCat-ID: 16511
The computation of lyapunov exponents via spatial integration with application to blowout bifurcations
P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering (1999) 223–237.
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| DOI
P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering (1999) 223–237.
1996 | Book Chapter | LibreCat-ID: 16533
The Computation of Unstable Manifolds Using Subdivision and Continuation
M. Dellnitz, A. Hohmann, in: Nonlinear Dynamical Systems and Chaos, Basel, 1996.
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| DOI
M. Dellnitz, A. Hohmann, in: Nonlinear Dynamical Systems and Chaos, Basel, 1996.
1995 | Book Chapter | LibreCat-ID: 16611
The constrained Liapunov-Schmidt procedure and periodic orbits
M. Golubitsky, J. Marsden, I. Stewart, M. Dellnitz, in: Normal Forms and Homoclinic Chaos, Providence, Rhode Island, 1995.
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| DOI
M. Golubitsky, J. Marsden, I. Stewart, M. Dellnitz, in: Normal Forms and Homoclinic Chaos, Providence, Rhode Island, 1995.
1993 | Journal Article | LibreCat-ID: 17013
The equivariant Darboux theorem
M. Dellnitz, Lectures in Applied Mathematics 29 (1993) 163–169.
LibreCat
M. Dellnitz, Lectures in Applied Mathematics 29 (1993) 163–169.
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 18 (2019) 1265–1292.
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A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (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.
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| 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.
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| 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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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).