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458 Publications
2003 | Book Chapter | LibreCat-ID: 16543
Dellnitz, M., & Preis, R. (2003). Congestion and Almost Invariant Sets in Dynamical Systems. In Lecture Notes in Computer Science. Berlin, Heidelberg. https://doi.org/10.1007/3-540-45084-x_8
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2003 | Journal Article | LibreCat-ID: 16600
Froyland, G., & Dellnitz, M. (2003). Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles. SIAM Journal on Scientific Computing, 1839–1863. https://doi.org/10.1137/s106482750238911x
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2003 | Book Chapter | LibreCat-ID: 16664
Schütze, O. (2003). A New Data Structure for the Nondominance Problem in Multi-objective Optimization. In Lecture Notes in Computer Science. Berlin, Heidelberg. https://doi.org/10.1007/3-540-36970-8_36
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2003 | Book Chapter | LibreCat-ID: 16665
Schütze, O., Mostaghim, S., Dellnitz, M., & Teich, J. (2003). Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques. In Lecture Notes in Computer Science. Berlin, Heidelberg. https://doi.org/10.1007/3-540-36970-8_9
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2003 | Journal Article | LibreCat-ID: 34896
Fieker, C., & Klüners, J. (2003). Minimal discriminants for fields with small Frobenius groups as Galois groups. Journal of Number Theory, 99(2), 318–337. https://doi.org/10.1016/s0022-314x(02)00071-9
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2002 | Book Chapter | LibreCat-ID: 16538
Dellnitz, M., & Junge, O. (2002). Set Oriented Numerical Methods for Dynamical Systems. In Handbook of Dynamical Systems. https://doi.org/10.1016/s1874-575x(02)80026-1
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2002 | Journal Article | LibreCat-ID: 16556
Dellnitz, M. (2002). Finding zeros by multilevel subdivision techniques. IMA Journal of Numerical Analysis, 167–185. https://doi.org/10.1093/imanum/22.2.167
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer, R., Monien, B., & Preis, R. (2002). Diffusion Schemes for Load Balancing on Heterogeneous Networks. Theory of Computing Systems, 305–320. https://doi.org/10.1007/s00224-002-1056-4
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2002 | Journal Article | LibreCat-ID: 35954
Klüners, J. (2002). Algorithms for function fields. Experiment. Math. , 11(2), 171–181.
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| Files available
2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz, M., Froyland, G., & Junge, O. (2001). The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems. In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56589-2_7
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2001 | Book Chapter | LibreCat-ID: 16598
Froyland, G. (2001). Extracting Dynamical Behavior via Markov Models. In Nonlinear Dynamics and Statistics. Boston, MA. https://doi.org/10.1007/978-1-4612-0177-9_12
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| DOI
2001 | Journal Article | LibreCat-ID: 16601
Froyland, G., Junge, O., & Ochs, G. (2001). Rigorous computation of topological entropy with respect to a finite partition. Physica D: Nonlinear Phenomena, 68–84. https://doi.org/10.1016/s0167-2789(01)00216-0
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2001 | Journal Article | LibreCat-ID: 16617
Junge, O. (2001). An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence. Dynamical Systems, 213–222. https://doi.org/10.1080/14689360109696233
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2001 | Journal Article | LibreCat-ID: 34897
Klüners, J., & Malle, G. (2001). A Database for Field Extensions of the Rationals. LMS Journal of Computation and Mathematics, 4, 182–196. https://doi.org/10.1112/s1461157000000851
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| DOI
| arXiv
2000 | Book Chapter | LibreCat-ID: 16513
Aston, P. J., & Dellnitz, M. (2000). The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms. In Equadiff 99. https://doi.org/10.1142/9789812792617_0196
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2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz, M., Froyland, G., & Sertl, S. (2000). A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator. In Equadiff 99. https://doi.org/10.1142/9789812792617_0199
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2000 | Journal Article | LibreCat-ID: 16554
Dellnitz, M., Froyland, G., & Sertl, S. (2000). On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity, 1171–1188. https://doi.org/10.1088/0951-7715/13/4/310
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2000 | Book Chapter | LibreCat-ID: 16616
Junge, O. (2000). Rigorous discretization of subdivision techniques. In Equadiff 99. https://doi.org/10.1142/9789812792617_0178
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2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz, M., Junge, O., Rumpf, M., & Strzodka, R. (2000). The computation of an unstable invariant set inside a cylinder containing a knotted flow. In Equadiff 99 (pp. 1053--1059). https://doi.org/10.1142/9789812792617_0204
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2000 | Journal Article | LibreCat-ID: 34900
Geissler, K., & Klüners, J. (2000). Galois Group Computation for Rational Polynomials. Journal of Symbolic Computation, 30(6), 653–674. https://doi.org/10.1006/jsco.2000.0377
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2000 | Journal Article | LibreCat-ID: 34901
Acciaro, V., & Klüners, J. (2000). Computing Local Artin Maps, and Solvability of Norm Equations. Journal of Symbolic Computation, 30(3), 239–252. https://doi.org/10.1006/jsco.2000.0361
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2000 | Journal Article | LibreCat-ID: 34899
Klüners, J., & Malle, G. (2000). Explicit Galois Realization of Transitive Groups of Degree up to 15. Journal of Symbolic Computation, 30(6), 675–716. https://doi.org/10.1006/jsco.2000.0378
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2000 | Journal Article | LibreCat-ID: 34898
Klüners, J. (2000). A Polynomial with Galois GroupSL2(11). Journal of Symbolic Computation, 30(6), 733–737. https://doi.org/10.1006/jsco.2000.0380
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1999 | Journal Article | LibreCat-ID: 16511
Aston, P. J., & Dellnitz, M. (1999). The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering, 223–237. https://doi.org/10.1016/s0045-7825(98)00196-0
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1999 | Journal Article | LibreCat-ID: 16537
Dellnitz, M., & Junge, O. (1999). On the Approximation of Complicated Dynamical Behavior. SIAM Journal on Numerical Analysis, 491–515. https://doi.org/10.1137/s0036142996313002
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1999 | Book Chapter | LibreCat-ID: 16584
Deuflhard, P., Dellnitz, M., Junge, O., & Schütte, C. (1999). Computation of Essential Molecular Dynamics by Subdivision Techniques. In Computational Molecular Dynamics: Challenges, Methods, Ideas. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58360-5_5
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1999 | Journal Article | LibreCat-ID: 17017
Bürkle, D., Dellnitz, M., Junge, O., Rumpf, M., & Spielberg, M. (1999). Visualizing Complicated Dynamics. Proceedings of Visualization 99.
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1999 | Journal Article | LibreCat-ID: 34902
Klüners, J. (1999). On Polynomial Decompositions. Journal of Symbolic Computation, 27(3), 261–269. https://doi.org/10.1006/jsco.1998.0252
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1999 | Journal Article | LibreCat-ID: 35941
Klüners, J., & Acciaro, V. (1999). Computing Automorphisms of Abelian Number Fields. Mathematics of Computation, 68(227), 1179–1186.
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| Files available
1998 | Journal Article | LibreCat-ID: 16536
Dellnitz, M., & Junge, O. (1998). An adaptive subdivision technique for the approximation of attractors and invariant measures. Computing and Visualization in Science, 63–68. https://doi.org/10.1007/s007910050006
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1997 | Journal Article | LibreCat-ID: 16535
Dellnitz, M., & Junge, O. (1997). Almost Invariant Sets in Chua’s Circuit. International Journal of Bifurcation and Chaos, 2475–2485. https://doi.org/10.1142/s0218127497001655
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1997 | Journal Article | LibreCat-ID: 16552
Dellnitz, M., Hohmann, A., Junge, O., & Rumpf, M. (1997). Exploring invariant sets and invariant measures. Chaos: An Interdisciplinary Journal of Nonlinear Science, 221–228. https://doi.org/10.1063/1.166223
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1997 | Journal Article | LibreCat-ID: 16614
Guder, R., Dellnitz, M., & Kreuzer, E. (1997). An adaptive method for the approximation of the generalized cell mapping. Chaos, Solitons & Fractals, 525–534. https://doi.org/10.1016/s0960-0779(96)00118-x
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1997 | Journal Article | LibreCat-ID: 17015
Dellnitz, M., & Hohmann, A. (1997). A subdivision algorithm for the computation of unstable manifolds and global attractors. Numerische Mathematik, 75, 293–317. https://doi.org/10.1007/s002110050240
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1997 | Journal Article | LibreCat-ID: 34903
DABERKOW, M., FIEKER, C., Klüners, J., POHST, M., ROEGNER, K., SCHÖRNIG, M., & WILDANGER, K. (1997). KANT V4. Journal of Symbolic Computation, 24(3–4), 267–283. https://doi.org/10.1006/jsco.1996.0126
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1997 | Journal Article | LibreCat-ID: 34904
Klüners, J., & Pohst, M. (1997). On Computing Subfields. Journal of Symbolic Computation, 24(3–4), 385–397. https://doi.org/10.1006/jsco.1996.0140
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1997 | Dissertation | LibreCat-ID: 42806
Klüners, J. (1997). Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation).
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| Files available
1996 | Book Chapter | LibreCat-ID: 16533
Dellnitz, M., & Hohmann, A. (1996). The Computation of Unstable Manifolds Using Subdivision and Continuation. In Nonlinear Dynamical Systems and Chaos. Basel. https://doi.org/10.1007/978-3-0348-7518-9_21
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1995 | Journal Article | LibreCat-ID: 16510
Aston, P. J., & Dellnitz, M. (1995). Symmetry Breaking Bifurcations of Chaotic Attractors. International Journal of Bifurcation and Chaos, 1643–1676. https://doi.org/10.1142/s021812749500123x
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1995 | Journal Article | LibreCat-ID: 16532
Dellnitz, M., & Heinrich, C. (1995). Admissible symmetry increasing bifurcations. Nonlinearity, 1039–1066. https://doi.org/10.1088/0951-7715/8/6/009
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1995 | Journal Article | LibreCat-ID: 16542
Dellnitz, M., & Melbourne, I. (1995). A note on the shadowing lemma and symmetric periodic points. Nonlinearity, 1067–1075. https://doi.org/10.1088/0951-7715/8/6/010
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1995 | Journal Article | LibreCat-ID: 16550
Dellnitz, M., Field, M., Golubitsky, M., Ma, J., & Hohmann, A. (1995). Cycling Chaos. International Journal of Bifurcation and Chaos, 1243–1247. https://doi.org/10.1142/s0218127495000909
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1995 | Journal Article | LibreCat-ID: 16551
Dellnitz, M., Golubitsky, M., Hohmann, A., & Stewart, I. (1995). Spirals in Scalar Reaction–Diffusion Equations. International Journal of Bifurcation and Chaos, 1487–1501. https://doi.org/10.1142/s0218127495001149
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1995 | Book Chapter | LibreCat-ID: 16611
Golubitsky, M., Marsden, J., Stewart, I., & Dellnitz, M. (1995). The constrained Liapunov-Schmidt procedure and periodic orbits. In Normal Forms and Homoclinic Chaos. Providence, Rhode Island. https://doi.org/10.1090/fic/004/05
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1995 | Mastersthesis | LibreCat-ID: 42808
Klüners, J. (1995). Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit).
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| Files available
1994 | Journal Article | LibreCat-ID: 16541
Dellnitz, M., & Melbourne, I. (1994). Generic movement of eigenvalues for equivariant self-adjoint matrices. Journal of Computational and Applied Mathematics, 249–259. https://doi.org/10.1016/0377-0427(94)90032-9
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1994 | Book Chapter | LibreCat-ID: 16544
Dellnitz, M., & Scheurle, J. (1994). Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom. In Dynamics, Bifurcation and Symmetry. Dordrecht. https://doi.org/10.1007/978-94-011-0956-7_9
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1994 | Book Chapter | LibreCat-ID: 16549
Dellnitz, M., Golubitsky, M., & Nicol, M. (1994). Symmetry of Attractors and the Karhunen-Loève Decomposition. In Trends and Perspectives in Applied Mathematics. New York, NY. https://doi.org/10.1007/978-1-4612-0859-4_4
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1994 | Journal Article | LibreCat-ID: 17014
Dellnitz, M. (1994). Collisions of chaotic attractors. Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg, 411–428.
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1993 | Journal Article | LibreCat-ID: 16518
Barany, E., Dellnitz, M., & Golubitsky, M. (1993). Detecting the symmetry of attractors. Physica D: Nonlinear Phenomena, 66–87. https://doi.org/10.1016/0167-2789(93)90198-a
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