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458 Publications
2003 | Book Chapter | LibreCat-ID: 16543
Dellnitz, Michael, and Robert Preis. “Congestion and Almost Invariant Sets in Dynamical Systems.” Lecture Notes in Computer Science, 2003, doi:10.1007/3-540-45084-x_8.
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2003 | Journal Article | LibreCat-ID: 16600
Froyland, Gary, and Michael Dellnitz. “Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles.” SIAM Journal on Scientific Computing, 2003, pp. 1839–63, doi:10.1137/s106482750238911x.
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2003 | Book Chapter | LibreCat-ID: 16664
Schütze, Oliver. “A New Data Structure for the Nondominance Problem in Multi-Objective Optimization.” Lecture Notes in Computer Science, 2003, doi:10.1007/3-540-36970-8_36.
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2003 | Book Chapter | LibreCat-ID: 16665
Schütze, Oliver, et al. “Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques.” Lecture Notes in Computer Science, 2003, doi:10.1007/3-540-36970-8_9.
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2003 | Journal Article | LibreCat-ID: 34896
Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with Small Frobenius Groups as Galois Groups.” Journal of Number Theory, vol. 99, no. 2, Elsevier BV, 2003, pp. 318–37, doi:10.1016/s0022-314x(02)00071-9.
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2002 | Book Chapter | LibreCat-ID: 16538
Dellnitz, Michael, and Oliver Junge. “Set Oriented Numerical Methods for Dynamical Systems.” Handbook of Dynamical Systems, 2002, doi:10.1016/s1874-575x(02)80026-1.
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2002 | Journal Article | LibreCat-ID: 16556
Dellnitz, M. “Finding Zeros by Multilevel Subdivision Techniques.” IMA Journal of Numerical Analysis, 2002, pp. 167–85, doi:10.1093/imanum/22.2.167.
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer, Robert, et al. “Diffusion Schemes for Load Balancing on Heterogeneous Networks.” Theory of Computing Systems, 2002, pp. 305–20, doi:10.1007/s00224-002-1056-4.
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2002 | Journal Article | LibreCat-ID: 35954
Klüners, Jürgen. “Algorithms for Function Fields.” Experiment. Math. , vol. 11, no. 2, Elsevier BV, 2002, pp. 171–81.
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2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz, Michael, et al. “The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems.” Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, 2001, doi:10.1007/978-3-642-56589-2_7.
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2001 | Book Chapter | LibreCat-ID: 16598
Froyland, Gary. “Extracting Dynamical Behavior via Markov Models.” Nonlinear Dynamics and Statistics, 2001, doi:10.1007/978-1-4612-0177-9_12.
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2001 | Journal Article | LibreCat-ID: 16601
Froyland, Gary, et al. “Rigorous Computation of Topological Entropy with Respect to a Finite Partition.” Physica D: Nonlinear Phenomena, 2001, pp. 68–84, doi:10.1016/s0167-2789(01)00216-0.
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2001 | Journal Article | LibreCat-ID: 16617
Junge, Oliver. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures: Proof of Convergence.” Dynamical Systems, 2001, pp. 213–22, doi:10.1080/14689360109696233.
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2001 | Journal Article | LibreCat-ID: 34897
Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of the Rationals.” LMS Journal of Computation and Mathematics, vol. 4, Wiley, 2001, pp. 182–96, doi:10.1112/s1461157000000851.
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| arXiv
2000 | Book Chapter | LibreCat-ID: 16513
Aston, P. J., and M. Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms.” Equadiff 99, 2000, doi:10.1142/9789812792617_0196.
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2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz, Michael, et al. “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator.” Equadiff 99, 2000, doi:10.1142/9789812792617_0199.
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2000 | Journal Article | LibreCat-ID: 16554
Dellnitz, Michael, et al. “On the Isolated Spectrum of the Perron-Frobenius Operator.” Nonlinearity, 2000, pp. 1171–88, doi:10.1088/0951-7715/13/4/310.
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2000 | Book Chapter | LibreCat-ID: 16616
Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” Equadiff 99, 2000, doi:10.1142/9789812792617_0178.
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2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz, Michael, et al. “The Computation of an Unstable Invariant Set inside a Cylinder Containing a Knotted Flow.” Equadiff 99, 2000, pp. 1053--1059, doi:10.1142/9789812792617_0204.
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2000 | Journal Article | LibreCat-ID: 34900
Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational Polynomials.” Journal of Symbolic Computation, vol. 30, no. 6, Elsevier BV, 2000, pp. 653–74, doi:10.1006/jsco.2000.0377.
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2000 | Journal Article | LibreCat-ID: 34901
Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” Journal of Symbolic Computation, vol. 30, no. 3, Elsevier BV, 2000, pp. 239–52, doi:10.1006/jsco.2000.0361.
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2000 | Journal Article | LibreCat-ID: 34899
Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive Groups of Degree up to 15.” Journal of Symbolic Computation, vol. 30, no. 6, Elsevier BV, 2000, pp. 675–716, doi:10.1006/jsco.2000.0378.
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2000 | Journal Article | LibreCat-ID: 34898
Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” Journal of Symbolic Computation, vol. 30, no. 6, Elsevier BV, 2000, pp. 733–37, doi:10.1006/jsco.2000.0380.
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1999 | Journal Article | LibreCat-ID: 16511
Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration with Application to Blowout Bifurcations.” Computer Methods in Applied Mechanics and Engineering, 1999, pp. 223–37, doi:10.1016/s0045-7825(98)00196-0.
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1999 | Journal Article | LibreCat-ID: 16537
Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical Behavior.” SIAM Journal on Numerical Analysis, 1999, pp. 491–515, doi:10.1137/s0036142996313002.
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1999 | Book Chapter | LibreCat-ID: 16584
Deuflhard, Peter, et al. “Computation of Essential Molecular Dynamics by Subdivision Techniques.” Computational Molecular Dynamics: Challenges, Methods, Ideas, 1999, doi:10.1007/978-3-642-58360-5_5.
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1999 | Journal Article | LibreCat-ID: 17017
Bürkle, David, et al. “Visualizing Complicated Dynamics.” Proceedings of Visualization 99, 1999.
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1999 | Journal Article | LibreCat-ID: 34902
Klüners, Jürgen. “On Polynomial Decompositions.” Journal of Symbolic Computation, vol. 27, no. 3, Elsevier BV, 1999, pp. 261–69, doi:10.1006/jsco.1998.0252.
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1999 | Journal Article | LibreCat-ID: 35941
Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian Number Fields.” Mathematics of Computation, vol. 68, no. 227, American Mathematical Society (AMS), 1999, pp. 1179–86.
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1998 | Journal Article | LibreCat-ID: 16536
Dellnitz, Michael, and Oliver Junge. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures.” Computing and Visualization in Science, 1998, pp. 63–68, doi:10.1007/s007910050006.
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1997 | Journal Article | LibreCat-ID: 16535
Dellnitz, Michael, and Oliver Junge. “Almost Invariant Sets in Chua’s Circuit.” International Journal of Bifurcation and Chaos, 1997, pp. 2475–85, doi:10.1142/s0218127497001655.
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1997 | Journal Article | LibreCat-ID: 16552
Dellnitz, Michael, et al. “Exploring Invariant Sets and Invariant Measures.” Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997, pp. 221–28, doi:10.1063/1.166223.
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1997 | Journal Article | LibreCat-ID: 16614
Guder, Rabbijah, et al. “An Adaptive Method for the Approximation of the Generalized Cell Mapping.” Chaos, Solitons & Fractals, 1997, pp. 525–34, doi:10.1016/s0960-0779(96)00118-x.
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1997 | Journal Article | LibreCat-ID: 17015
Dellnitz, Michael, and Andreas Hohmann. “A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors.” Numerische Mathematik, vol. 75, 1997, pp. 293–317, doi:10.1007/s002110050240.
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1997 | Journal Article | LibreCat-ID: 34903
DABERKOW, M., et al. “KANT V4.” Journal of Symbolic Computation, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 267–83, doi:10.1006/jsco.1996.0126.
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1997 | Journal Article | LibreCat-ID: 34904
Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” Journal of Symbolic Computation, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 385–97, doi:10.1006/jsco.1996.0140.
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1997 | Dissertation | LibreCat-ID: 42806
Klüners, Jürgen. Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation). 1997.
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1996 | Book Chapter | LibreCat-ID: 16533
Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds Using Subdivision and Continuation.” Nonlinear Dynamical Systems and Chaos, 1996, doi:10.1007/978-3-0348-7518-9_21.
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1995 | Journal Article | LibreCat-ID: 16510
Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations of Chaotic Attractors.” International Journal of Bifurcation and Chaos, 1995, pp. 1643–76, doi:10.1142/s021812749500123x.
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1995 | Journal Article | LibreCat-ID: 16532
Dellnitz, M., and C. Heinrich. “Admissible Symmetry Increasing Bifurcations.” Nonlinearity, 1995, pp. 1039–66, doi:10.1088/0951-7715/8/6/009.
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1995 | Journal Article | LibreCat-ID: 16542
Dellnitz, M., and I. Melbourne. “A Note on the Shadowing Lemma and Symmetric Periodic Points.” Nonlinearity, 1995, pp. 1067–75, doi:10.1088/0951-7715/8/6/010.
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1995 | Journal Article | LibreCat-ID: 16550
Dellnitz, Michael, et al. “Cycling Chaos.” International Journal of Bifurcation and Chaos, 1995, pp. 1243–47, doi:10.1142/s0218127495000909.
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1995 | Journal Article | LibreCat-ID: 16551
Dellnitz, Michael, et al. “Spirals in Scalar Reaction–Diffusion Equations.” International Journal of Bifurcation and Chaos, 1995, pp. 1487–501, doi:10.1142/s0218127495001149.
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1995 | Book Chapter | LibreCat-ID: 16611
Golubitsky, Martin, et al. “The Constrained Liapunov-Schmidt Procedure and Periodic Orbits.” Normal Forms and Homoclinic Chaos, 1995, doi:10.1090/fic/004/05.
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1995 | Mastersthesis | LibreCat-ID: 42808
Klüners, Jürgen. Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit). 1995.
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1994 | Journal Article | LibreCat-ID: 16541
Dellnitz, Michael, and Ian Melbourne. “Generic Movement of Eigenvalues for Equivariant Self-Adjoint Matrices.” Journal of Computational and Applied Mathematics, 1994, pp. 249–59, doi:10.1016/0377-0427(94)90032-9.
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1994 | Book Chapter | LibreCat-ID: 16544
Dellnitz, Michael, and Jürgen Scheurle. “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom.” Dynamics, Bifurcation and Symmetry, 1994, doi:10.1007/978-94-011-0956-7_9.
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1994 | Book Chapter | LibreCat-ID: 16549
Dellnitz, Michael, et al. “Symmetry of Attractors and the Karhunen-Loève Decomposition.” Trends and Perspectives in Applied Mathematics, 1994, doi:10.1007/978-1-4612-0859-4_4.
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1994 | Journal Article | LibreCat-ID: 17014
Dellnitz, Michael. “Collisions of Chaotic Attractors.” Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg, 1994, pp. 411–28.
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1993 | Journal Article | LibreCat-ID: 16518
Barany, Ernest, et al. “Detecting the Symmetry of Attractors.” Physica D: Nonlinear Phenomena, 1993, pp. 66–87, doi:10.1016/0167-2789(93)90198-a.
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