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228 Publications


2021 | Dissertation | LibreCat-ID: 32057 | OA
Gerlach R. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems.; 2021. doi:10.17619/UNIPB/1-1278
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2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz M, Junge O, Rumpf M, Strzodka R. The computation of an unstable invariant set inside a cylinder containing a knotted flow. In: Equadiff 99. ; 2000:1053--1059. doi:10.1142/9789812792617_0204
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2014 | Journal Article | LibreCat-ID: 17043
Baier R, Dellnitz M, Hessel-von Molo M, Sertl S, Kevrekidis IG. The computation of convex invariant sets via Newton’s method. Journal of Computational Dynamics. 2014;1(1):39-69. doi:10.3934/jcd.2014.1.39
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2000 | Book Chapter | LibreCat-ID: 16513
Aston PJ, Dellnitz M. The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0196
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1999 | Journal Article | LibreCat-ID: 16511
Aston PJ, Dellnitz M. The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering. 1999:223-237. doi:10.1016/s0045-7825(98)00196-0
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1996 | Book Chapter | LibreCat-ID: 16533
Dellnitz M, Hohmann A. The Computation of Unstable Manifolds Using Subdivision and Continuation. In: Nonlinear Dynamical Systems and Chaos. Basel; 1996. doi:10.1007/978-3-0348-7518-9_21
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1995 | Book Chapter | LibreCat-ID: 16611
Golubitsky M, Marsden J, Stewart I, Dellnitz M. The constrained Liapunov-Schmidt procedure and periodic orbits. In: Normal Forms and Homoclinic Chaos. Providence, Rhode Island; 1995. doi:10.1090/fic/004/05
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1993 | Journal Article | LibreCat-ID: 17013
Dellnitz M. The equivariant Darboux theorem. Lectures in Applied Mathematics. 1993;29:163-169.
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems. 2019;18(3):1265-1292. doi:10.1137/18m1204395
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2014 | Book Chapter | LibreCat-ID: 16577
Dellnitz M, Dumitrescu R, Flaßkamp K, et al. The Paradigm of Self-optimization. In: Lecture Notes in Mechanical Engineering. Berlin, Heidelberg; 2014. doi:10.1007/978-3-642-45435-6_1
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1993 | Journal Article | LibreCat-ID: 16634
Melbourne I, Dellnitz M, Golubitsky M. The structure of symmetric attractors. Archive for Rational Mechanics and Analysis. 1993:75-98. doi:10.1007/bf00386369
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2012 | Journal Article | LibreCat-ID: 16603
Froyland G, Horenkamp C, Rossi V, Santitissadeekorn N, Gupta AS. Three-dimensional characterization and tracking of an Agulhas Ring. Ocean Modelling. 2012:69-75. doi:10.1016/j.ocemod.2012.05.001
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2005 | Conference Paper | LibreCat-ID: 16525
Day S, Junge O, Mischaikow K. Towards Automated Chaos Verification. In: EQUADIFF 2003. ; 2005. doi:10.1142/9789812702067_0014
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2018 | Journal Article | LibreCat-ID: 16715
Bittracher A, Koltai P, Klus S, Banisch R, Dellnitz M, Schütte C. Transition Manifolds of Complex Metastable Systems. Journal of Nonlinear Science. 2018;28:471-512. doi:10.1007/s00332-017-9415-0
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2005 | Journal Article | LibreCat-ID: 16557
Dellnitz M, Junge O, Koon WS, et al. Transport in Dynamical Astronomy and Multibody Problems. International Journal of Bifurcation and Chaos. 2005:699-727. doi:10.1142/s0218127405012545
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2005 | Journal Article | LibreCat-ID: 16558
Dellnitz M, Junge O, Lo MW, et al. Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. Physical Review Letters. 2005. doi:10.1103/physrevlett.94.231102
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2004 | Conference Paper | LibreCat-ID: 16620
Junge O, Marsden JE, Mezic I. Uncertainty in the dynamics of conservative maps. In: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601). ; 2004. doi:10.1109/cdc.2004.1430379
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2007 | Book Chapter | LibreCat-ID: 16640
Monien B, Preis R. Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs. In: Mathematical Foundations of Computer Science 2001. Berlin, Heidelberg; 2007. doi:10.1007/3-540-44683-4_46
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2006 | Journal Article | LibreCat-ID: 16641
Monien B, Preis R. Upper bounds on the Bisection Width of 3- and 4-regular Graphs. Journal of Discrete Algorithms. 2006:475-498. doi:10.1016/j.jda.2005.12.009
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2022 | Preprint | LibreCat-ID: 34618 | OA
Gebken B. Using second-order information in gradient sampling methods for  nonsmooth optimization. arXiv:221004579. Published online 2022.
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2014 | Journal Article | LibreCat-ID: 21936
Nüske F, Keller BG, Pérez-Hernández G, Mey ASJS, Noé F. Variational Approach to Molecular Kinetics. Journal of Chemical Theory and Computation. 2014:1739-1752. doi:10.1021/ct4009156
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2011 | Conference Paper | LibreCat-ID: 16588
Flaßkamp K, Ober-Blöbaum S. 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. doi:10.1145/1967701.1967736
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2014 | Conference Paper | LibreCat-ID: 17046
Ober-Blöbaum S, Lindhorst H. 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 S, Tao M, Cheng M, Owhadi H, Marsden JE. Variational integrators for electric circuits. Journal of Computational Physics. 2013;242:498-530. doi:10.1016/j.jcp.2013.02.006
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2017 | Journal Article | LibreCat-ID: 21939
Wu H, Nüske F, Paul F, Klus S, Koltai P, Noé F. Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations. The Journal of Chemical Physics. 2017. doi:10.1063/1.4979344
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2014 | Book Chapter | LibreCat-ID: 17044
Leitz T, Ober-Blöbaum S, Leyendecker S. Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration. In: Terze Z, ed. Multibody Dynamics. Cham: Springer; 2014. doi:10.1007/978-3-319-07260-9
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2016 | Journal Article | LibreCat-ID: 21937
Nüske F, Schneider R, Vitalini F, Noé F. Variational tensor approach for approximating the rare-event kinetics of macromolecular systems. The Journal of Chemical Physics. 2016. doi:10.1063/1.4940774
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1999 | Journal Article | LibreCat-ID: 17017
Bürkle D, Dellnitz M, Junge O, Rumpf M, Spielberg M. Visualizing Complicated Dynamics. Proceedings of Visualization 99. 1999.
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