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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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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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.