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458 Publications


2003 | Book Chapter | LibreCat-ID: 16543
M. Dellnitz and R. Preis, “Congestion and Almost Invariant Sets in Dynamical Systems,” in Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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2003 | Journal Article | LibreCat-ID: 16600
G. Froyland and M. Dellnitz, “Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles,” SIAM Journal on Scientific Computing, pp. 1839–1863, 2003.
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2003 | Book Chapter | LibreCat-ID: 16664
O. Schütze, “A New Data Structure for the Nondominance Problem in Multi-objective Optimization,” in Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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2003 | Book Chapter | LibreCat-ID: 16665
O. Schütze, S. Mostaghim, M. Dellnitz, and J. Teich, “Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques,” in Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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2003 | Journal Article | LibreCat-ID: 34896
C. Fieker and J. Klüners, “Minimal discriminants for fields with small Frobenius groups as Galois groups,” Journal of Number Theory, vol. 99, no. 2, pp. 318–337, 2003, doi: 10.1016/s0022-314x(02)00071-9.
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2002 | Book Chapter | LibreCat-ID: 16538
M. Dellnitz and O. Junge, “Set Oriented Numerical Methods for Dynamical Systems,” in Handbook of Dynamical Systems, 2002.
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2002 | Journal Article | LibreCat-ID: 16556
M. Dellnitz, “Finding zeros by multilevel subdivision techniques,” IMA Journal of Numerical Analysis, pp. 167–185, 2002.
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2002 | Journal Article | LibreCat-ID: 16586
R. Elsässer, B. Monien, and R. Preis, “Diffusion Schemes for Load Balancing on Heterogeneous Networks,” Theory of Computing Systems, pp. 305–320, 2002.
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2002 | Journal Article | LibreCat-ID: 35954
J. Klüners, “Algorithms for function fields,” Experiment. Math. , vol. 11, no. 2, pp. 171–181, 2002.
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2001 | Book Chapter | LibreCat-ID: 16555
M. Dellnitz, G. Froyland, and O. Junge, “The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems,” in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, Berlin, Heidelberg, 2001.
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2001 | Book Chapter | LibreCat-ID: 16598
G. Froyland, “Extracting Dynamical Behavior via Markov Models,” in Nonlinear Dynamics and Statistics, Boston, MA, 2001.
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2001 | Journal Article | LibreCat-ID: 16601
G. Froyland, O. Junge, and G. Ochs, “Rigorous computation of topological entropy with respect to a finite partition,” Physica D: Nonlinear Phenomena, pp. 68–84, 2001.
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2001 | Journal Article | LibreCat-ID: 16617
O. Junge, “An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence,” Dynamical Systems, pp. 213–222, 2001.
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2001 | Journal Article | LibreCat-ID: 34897
J. Klüners and G. Malle, “A Database for Field Extensions of the Rationals,” LMS Journal of Computation and Mathematics, vol. 4, pp. 182–196, 2001, doi: 10.1112/s1461157000000851.
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2000 | Book Chapter | LibreCat-ID: 16513
P. J. Aston and M. Dellnitz, “The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms,” in Equadiff 99, 2000.
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2000 | Book Chapter | LibreCat-ID: 16553
M. Dellnitz, G. Froyland, and S. Sertl, “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator,” in Equadiff 99, 2000.
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2000 | Journal Article | LibreCat-ID: 16554
M. Dellnitz, G. Froyland, and S. Sertl, “On the isolated spectrum of the Perron-Frobenius operator,” Nonlinearity, pp. 1171–1188, 2000.
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2000 | Book Chapter | LibreCat-ID: 16616
O. Junge, “Rigorous discretization of subdivision techniques,” in Equadiff 99, 2000.
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2000 | Book Chapter | LibreCat-ID: 17018
M. Dellnitz, O. Junge, M. Rumpf, and R. Strzodka, “The computation of an unstable invariant set inside a cylinder containing a knotted flow,” in Equadiff 99, 2000, pp. 1053--1059.
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2000 | Journal Article | LibreCat-ID: 34900
K. Geissler and J. Klüners, “Galois Group Computation for Rational Polynomials,” Journal of Symbolic Computation, vol. 30, no. 6, pp. 653–674, 2000, doi: 10.1006/jsco.2000.0377.
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2000 | Journal Article | LibreCat-ID: 34901
V. Acciaro and J. Klüners, “Computing Local Artin Maps, and Solvability of Norm Equations,” Journal of Symbolic Computation, vol. 30, no. 3, pp. 239–252, 2000, doi: 10.1006/jsco.2000.0361.
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2000 | Journal Article | LibreCat-ID: 34899
J. Klüners and G. Malle, “Explicit Galois Realization of Transitive Groups of Degree up to 15,” Journal of Symbolic Computation, vol. 30, no. 6, pp. 675–716, 2000, doi: 10.1006/jsco.2000.0378.
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2000 | Journal Article | LibreCat-ID: 34898
J. Klüners, “A Polynomial with Galois GroupSL2(11),” Journal of Symbolic Computation, vol. 30, no. 6, pp. 733–737, 2000, doi: 10.1006/jsco.2000.0380.
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1999 | Journal Article | LibreCat-ID: 16511
P. J. Aston and M. Dellnitz, “The computation of lyapunov exponents via spatial integration with application to blowout bifurcations,” Computer Methods in Applied Mechanics and Engineering, pp. 223–237, 1999.
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1999 | Journal Article | LibreCat-ID: 16537
M. Dellnitz and O. Junge, “On the Approximation of Complicated Dynamical Behavior,” SIAM Journal on Numerical Analysis, pp. 491–515, 1999.
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1999 | Book Chapter | LibreCat-ID: 16584
P. Deuflhard, M. Dellnitz, O. Junge, and C. Schütte, “Computation of Essential Molecular Dynamics by Subdivision Techniques,” in Computational Molecular Dynamics: Challenges, Methods, Ideas, Berlin, Heidelberg, 1999.
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1999 | Journal Article | LibreCat-ID: 17017
D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, and M. Spielberg, “Visualizing Complicated Dynamics,” Proceedings of Visualization 99, 1999.
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1999 | Journal Article | LibreCat-ID: 34902
J. Klüners, “On Polynomial Decompositions,” Journal of Symbolic Computation, vol. 27, no. 3, pp. 261–269, 1999, doi: 10.1006/jsco.1998.0252.
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1999 | Journal Article | LibreCat-ID: 35941
J. Klüners and V. Acciaro, “Computing Automorphisms of Abelian Number Fields,” Mathematics of Computation, vol. 68, no. 227, pp. 1179–1186, 1999.
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1998 | Journal Article | LibreCat-ID: 16536
M. Dellnitz and O. Junge, “An adaptive subdivision technique for the approximation of attractors and invariant measures,” Computing and Visualization in Science, pp. 63–68, 1998.
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1997 | Journal Article | LibreCat-ID: 16535
M. Dellnitz and O. Junge, “Almost Invariant Sets in Chua’s Circuit,” International Journal of Bifurcation and Chaos, pp. 2475–2485, 1997.
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1997 | Journal Article | LibreCat-ID: 16552
M. Dellnitz, A. Hohmann, O. Junge, and M. Rumpf, “Exploring invariant sets and invariant measures,” Chaos: An Interdisciplinary Journal of Nonlinear Science, pp. 221–228, 1997.
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1997 | Journal Article | LibreCat-ID: 16614
R. Guder, M. Dellnitz, and E. Kreuzer, “An adaptive method for the approximation of the generalized cell mapping,” Chaos, Solitons & Fractals, pp. 525–534, 1997.
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1997 | Journal Article | LibreCat-ID: 17015
M. Dellnitz and A. Hohmann, “A subdivision algorithm for the computation of unstable manifolds and global attractors,” Numerische Mathematik, vol. 75, pp. 293–317, 1997.
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1997 | Journal Article | LibreCat-ID: 34903
M. DABERKOW et al., “KANT V4,” Journal of Symbolic Computation, vol. 24, no. 3–4, pp. 267–283, 1997, doi: 10.1006/jsco.1996.0126.
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1997 | Journal Article | LibreCat-ID: 34904
J. Klüners and M. Pohst, “On Computing Subfields,” Journal of Symbolic Computation, vol. 24, no. 3–4, pp. 385–397, 1997, doi: 10.1006/jsco.1996.0140.
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1997 | Dissertation | LibreCat-ID: 42806
J. Klüners, Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation). TU Berlin, 1997.
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1996 | Book Chapter | LibreCat-ID: 16533
M. Dellnitz and A. Hohmann, “The Computation of Unstable Manifolds Using Subdivision and Continuation,” in Nonlinear Dynamical Systems and Chaos, Basel, 1996.
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1995 | Journal Article | LibreCat-ID: 16510
P. J. Aston and M. Dellnitz, “Symmetry Breaking Bifurcations of Chaotic Attractors,” International Journal of Bifurcation and Chaos, pp. 1643–1676, 1995.
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1995 | Journal Article | LibreCat-ID: 16532
M. Dellnitz and C. Heinrich, “Admissible symmetry increasing bifurcations,” Nonlinearity, pp. 1039–1066, 1995.
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1995 | Journal Article | LibreCat-ID: 16542
M. Dellnitz and I. Melbourne, “A note on the shadowing lemma and symmetric periodic points,” Nonlinearity, pp. 1067–1075, 1995.
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1995 | Journal Article | LibreCat-ID: 16550
M. Dellnitz, M. Field, M. Golubitsky, J. Ma, and A. Hohmann, “Cycling Chaos,” International Journal of Bifurcation and Chaos, pp. 1243–1247, 1995.
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1995 | Journal Article | LibreCat-ID: 16551
M. Dellnitz, M. Golubitsky, A. Hohmann, and I. Stewart, “Spirals in Scalar Reaction–Diffusion Equations,” International Journal of Bifurcation and Chaos, pp. 1487–1501, 1995.
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1995 | Book Chapter | LibreCat-ID: 16611
M. Golubitsky, J. Marsden, I. Stewart, and M. Dellnitz, “The constrained Liapunov-Schmidt procedure and periodic orbits,” in Normal Forms and Homoclinic Chaos, Providence, Rhode Island, 1995.
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1995 | Mastersthesis | LibreCat-ID: 42808
J. Klüners, Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit). TU Berlin, 1995.
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1994 | Journal Article | LibreCat-ID: 16541
M. Dellnitz and I. Melbourne, “Generic movement of eigenvalues for equivariant self-adjoint matrices,” Journal of Computational and Applied Mathematics, pp. 249–259, 1994.
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1994 | Book Chapter | LibreCat-ID: 16544
M. Dellnitz and J. Scheurle, “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom,” in Dynamics, Bifurcation and Symmetry, Dordrecht, 1994.
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1994 | Book Chapter | LibreCat-ID: 16549
M. Dellnitz, M. Golubitsky, and M. Nicol, “Symmetry of Attractors and the Karhunen-Loève Decomposition,” in Trends and Perspectives in Applied Mathematics, New York, NY, 1994.
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1994 | Journal Article | LibreCat-ID: 17014
M. Dellnitz, “Collisions of chaotic attractors,” Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg, pp. 411–428, 1994.
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1993 | Journal Article | LibreCat-ID: 16518
E. Barany, M. Dellnitz, and M. Golubitsky, “Detecting the symmetry of attractors,” Physica D: Nonlinear Phenomena, pp. 66–87, 1993.
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1993 | Journal Article | LibreCat-ID: 16633
I. Melbourne and M. Dellnitz, “Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group,” Mathematical Proceedings of the Cambridge Philosophical Society, pp. 235–268, 1993.
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1993 | Journal Article | LibreCat-ID: 16634
I. Melbourne, M. Dellnitz, and M. Golubitsky, “The structure of symmetric attractors,” Archive for Rational Mechanics and Analysis, pp. 75–98, 1993.
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1993 | Journal Article | LibreCat-ID: 17013
M. Dellnitz, “The equivariant Darboux theorem,” Lectures in Applied Mathematics, vol. 29, pp. 163–169, 1993.
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1992 | Book Chapter | LibreCat-ID: 16546
M. Dellnitz, M. Golubitsky, and I. Melbourne, “Mechanisms of Symmetry Creation,” in Bifurcation and Symmetry, Basel, 1992.
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1992 | Book Chapter | LibreCat-ID: 16547
M. Dellnitz, J. E. Marsden, I. Melbourne, and J. Scheurle, “Generic Bifurcations of Pendula,” in Bifurcation and Symmetry, Basel, 1992.
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1992 | Journal Article | LibreCat-ID: 16548
M. Dellnitz, I. Melbourne, and J. E. Marsden, “Generic bifurcation of Hamiltonian vector fields with symmetry,” Nonlinearity, pp. 979–996, 1992.
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1992 | Journal Article | LibreCat-ID: 17012
M. Dellnitz, “Computational bifurcation of periodic solutions in systems with symmetry,” IMA Journal of Numerical Analysis, vol. 12, no. 3, pp. 429–455, 1992.
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1989 | Journal Article | LibreCat-ID: 16682
M. Dellnitz and B. Werner, “Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points,” Journal of Computational and Applied Mathematics, pp. 97–123, 1989.
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