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258 Publications


2005 | Journal Article | LibreCat-ID: 16684
@article{Dellnitz_Sch�tze_Hestermeyer_2005, title={Covering Pareto Sets by Multilevel Subdivision Techniques}, DOI={10.1007/s10957-004-6468-7}, journal={Journal of Optimization Theory and Applications}, author={Dellnitz, M. and Sch�tze, O. and Hestermeyer, T.}, year={2005}, pages={113–136} }
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2005 | Journal Article | LibreCat-ID: 16557
@article{Dellnitz_Junge_Koon_Lekien_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport in Dynamical Astronomy and Multibody Problems}, DOI={10.1142/s0218127405012545}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Junge, Oliver and Koon, Wang Sang and Lekien, Francois and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005}, pages={699–727} }
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2005 | Journal Article | LibreCat-ID: 16627
@article{Krauskopf_Osinga_Doedel_Henderson_Guckenheimer_Vladimirsky_Dellnitz_Junge_2005, title={A Survey of Methods for Computing (un)stable Manifolds of Vector Fields}, DOI={10.1142/s0218127405012533}, journal={International Journal of Bifurcation and Chaos}, author={Krauskopf, B. and Osinga, H. M. and Doedel, E. J. and Henderson, M. E. and Guckenheimer, J. and Vladimirsky, A. and Dellnitz, M. and Junge, O.}, year={2005}, pages={763–791} }
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2005 | Journal Article | LibreCat-ID: 16558
@article{Dellnitz_Junge_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region}, DOI={10.1103/physrevlett.94.231102}, journal={Physical Review Letters}, author={Dellnitz, Michael and Junge, Oliver and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005} }
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2005 | Conference Paper | LibreCat-ID: 16628
@inproceedings{Krishnamurthy_Preis_2005, title={Satellite Formation, a Mobile Sensor Network in Space}, DOI={10.1109/ipdps.2005.387}, booktitle={19th IEEE International Parallel and Distributed Processing Symposium}, author={Krishnamurthy, A. and Preis, R.}, year={2005} }
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2005 | Conference Paper | LibreCat-ID: 16631
@inproceedings{Li_Pottharst_Frohieke_Becker_Witting_Dellnitz_Znamenshchykov_Feldmann_2005, title={Design and implementation of a hybrid energy supply system for railway vehicles}, DOI={10.1109/apec.2005.1452979}, booktitle={Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.}, author={Li, R. and Pottharst, A. and Frohieke, N. and Becker, J. and Witting, K. and Dellnitz, M. and Znamenshchykov, O. and Feldmann, R.}, year={2005} }
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2004 | Journal Article | LibreCat-ID: 16500
@article{Chaudhuri_Sertl_Hajnal_Dellnitz_Frauenheim_2004, title={Global optimization of silicon nanoclusters}, DOI={10.1016/j.apsusc.2003.11.007}, journal={Applied Surface Science}, author={Chaudhuri, I. and Sertl, S. and Hajnal, Z. and Dellnitz, M. and Frauenheim, Th.}, year={2004}, pages={108–113} }
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2004 | Conference Paper | LibreCat-ID: 16620
@inproceedings{Junge_Marsden_Mezic_2004, title={Uncertainty in the dynamics of conservative maps}, DOI={10.1109/cdc.2004.1430379}, booktitle={2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)}, author={Junge, O. and Marsden, J.E. and Mezic, I.}, year={2004} }
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2004 | Journal Article | LibreCat-ID: 16587
@article{Elsässer_Monien_Preis_Frommer_2004, title={Optimal Diffusion Schemes and Load Balancing on Product Graphs}, DOI={10.1142/s0129626404001714}, journal={Parallel Processing Letters}, author={Elsässer, Robert and Monien, Burkhard and Preis, Robert and Frommer, Andreas}, year={2004}, pages={61–73} }
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2004 | Journal Article | LibreCat-ID: 16619
@article{Junge_Osinga_2004, title={A set oriented approach to global optimal control}, DOI={10.1051/cocv:2004006}, journal={ESAIM: Control, Optimisation and Calculus of Variations}, author={Junge, Oliver and Osinga, Hinke M.}, year={2004}, pages={259–270} }
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2004 | Journal Article | LibreCat-ID: 16521
@article{Bezrukov_Elsässer_Monien_Preis_Tillich_2004, title={New spectral lower bounds on the bisection width of graphs}, DOI={10.1016/j.tcs.2004.03.059}, journal={Theoretical Computer Science}, author={Bezrukov, S. and Elsässer, R. and Monien, B. and Preis, R. and Tillich, J.-P.}, year={2004}, pages={155–174} }
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2004 | Journal Article | LibreCat-ID: 16527
@article{Day_Junge_Mischaikow_2004, title={A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems}, DOI={10.1137/030600210}, journal={SIAM Journal on Applied Dynamical Systems}, author={Day, S. and Junge, O. and Mischaikow, K.}, year={2004}, pages={117–160} }
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2003 | Book Chapter | LibreCat-ID: 16543
@inbook{Dellnitz_Preis_2003, place={Berlin, Heidelberg}, title={Congestion and Almost Invariant Sets in Dynamical Systems}, DOI={10.1007/3-540-45084-x_8}, booktitle={Lecture Notes in Computer Science}, author={Dellnitz, Michael and Preis, Robert}, year={2003} }
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2003 | Journal Article | LibreCat-ID: 16498
@article{Aston_Dellnitz_2003, title={Computation of the dominant Lyapunov exponent via spatial integration using matrix norms}, DOI={10.1098/rspa.2003.1143}, journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}, author={Aston, P. J. and Dellnitz, M.}, year={2003}, pages={2933–2955} }
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2003 | Book Chapter | LibreCat-ID: 16664
@inbook{Schütze_2003, place={Berlin, Heidelberg}, title={A New Data Structure for the Nondominance Problem in Multi-objective Optimization}, DOI={10.1007/3-540-36970-8_36}, booktitle={Lecture Notes in Computer Science}, author={Schütze, Oliver}, year={2003} }
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2003 | Book Chapter | LibreCat-ID: 16665
@inbook{Schütze_Mostaghim_Dellnitz_Teich_2003, place={Berlin, Heidelberg}, title={Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques}, DOI={10.1007/3-540-36970-8_9}, booktitle={Lecture Notes in Computer Science}, author={Schütze, Oliver and Mostaghim, Sanaz and Dellnitz, Michael and Teich, Jürgen}, year={2003} }
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2003 | Journal Article | LibreCat-ID: 16600
@article{Froyland_Dellnitz_2003, title={Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles}, DOI={10.1137/s106482750238911x}, journal={SIAM Journal on Scientific Computing}, author={Froyland, Gary and Dellnitz, Michael}, year={2003}, pages={1839–1863} }
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2002 | Journal Article | LibreCat-ID: 16586
@article{Elsässer_Monien_Preis_2002, title={Diffusion Schemes for Load Balancing on Heterogeneous Networks}, DOI={10.1007/s00224-002-1056-4}, journal={Theory of Computing Systems}, author={Elsässer, Robert and Monien, Burkhard and Preis, Robert}, year={2002}, pages={305–320} }
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2002 | Journal Article | LibreCat-ID: 16556
@article{Dellnitz_2002, title={Finding zeros by multilevel subdivision techniques}, DOI={10.1093/imanum/22.2.167}, journal={IMA Journal of Numerical Analysis}, author={Dellnitz, M.}, year={2002}, pages={167–185} }
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2002 | Book Chapter | LibreCat-ID: 16538
@inbook{Dellnitz_Junge_2002, title={Set Oriented Numerical Methods for Dynamical Systems}, DOI={10.1016/s1874-575x(02)80026-1}, booktitle={Handbook of Dynamical Systems}, author={Dellnitz, Michael and Junge, Oliver}, year={2002} }
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2001 | Book Chapter | LibreCat-ID: 16598
@inbook{Froyland_2001, place={Boston, MA}, title={Extracting Dynamical Behavior via Markov Models}, DOI={10.1007/978-1-4612-0177-9_12}, booktitle={Nonlinear Dynamics and Statistics}, author={Froyland, Gary}, year={2001} }
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2001 | Journal Article | LibreCat-ID: 16601
@article{Froyland_Junge_Ochs_2001, title={Rigorous computation of topological entropy with respect to a finite partition}, DOI={10.1016/s0167-2789(01)00216-0}, journal={Physica D: Nonlinear Phenomena}, author={Froyland, Gary and Junge, Oliver and Ochs, Gunter}, year={2001}, pages={68–84} }
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2001 | Book Chapter | LibreCat-ID: 16555
@inbook{Dellnitz_Froyland_Junge_2001, place={Berlin, Heidelberg}, title={The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems}, DOI={10.1007/978-3-642-56589-2_7}, booktitle={Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems}, author={Dellnitz, Michael and Froyland, Gary and Junge, Oliver}, year={2001} }
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2001 | Journal Article | LibreCat-ID: 16617
@article{Junge_2001, title={An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence}, DOI={10.1080/14689360109696233}, journal={Dynamical Systems}, author={Junge, Oliver}, year={2001}, pages={213–222} }
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2000 | Book Chapter | LibreCat-ID: 16513
@inbook{Aston_Dellnitz_2000, title={The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms}, DOI={10.1142/9789812792617_0196}, booktitle={Equadiff 99}, author={Aston, P. J. and Dellnitz, M.}, year={2000} }
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2000 | Book Chapter | LibreCat-ID: 16553
@inbook{Dellnitz_Froyland_Sertl_2000, title={A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator}, DOI={10.1142/9789812792617_0199}, booktitle={Equadiff 99}, author={Dellnitz, Michael and Froyland, Gary and Sertl, Stefan}, year={2000} }
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2000 | Book Chapter | LibreCat-ID: 16616
@inbook{Junge_2000, title={Rigorous discretization of subdivision techniques}, DOI={10.1142/9789812792617_0178}, booktitle={Equadiff 99}, author={Junge, Oliver}, year={2000} }
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2000 | Book Chapter | LibreCat-ID: 17018
@inbook{Dellnitz_Junge_Rumpf_Strzodka_2000, title={The computation of an unstable invariant set inside a cylinder containing a knotted flow}, DOI={10.1142/9789812792617_0204}, booktitle={Equadiff 99}, author={Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Strzodka, Robert}, year={2000}, pages={1053--1059} }
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2000 | Journal Article | LibreCat-ID: 16554
@article{Dellnitz_Froyland_Sertl_2000, title={On the isolated spectrum of the Perron-Frobenius operator}, DOI={10.1088/0951-7715/13/4/310}, journal={Nonlinearity}, author={Dellnitz, Michael and Froyland, Gary and Sertl, Stefan}, year={2000}, pages={1171–1188} }
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1999 | Journal Article | LibreCat-ID: 16537
@article{Dellnitz_Junge_1999, title={On the Approximation of Complicated Dynamical Behavior}, DOI={10.1137/s0036142996313002}, journal={SIAM Journal on Numerical Analysis}, author={Dellnitz, Michael and Junge, Oliver}, year={1999}, pages={491–515} }
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1999 | Journal Article | LibreCat-ID: 17017
@article{Bürkle_Dellnitz_Junge_Rumpf_Spielberg_1999, title={Visualizing Complicated Dynamics}, journal={Proceedings of Visualization 99}, author={Bürkle, David and Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Spielberg, Michael}, year={1999} }
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1999 | Book Chapter | LibreCat-ID: 16584
@inbook{Deuflhard_Dellnitz_Junge_Schütte_1999, place={Berlin, Heidelberg}, title={Computation of Essential Molecular Dynamics by Subdivision Techniques}, DOI={10.1007/978-3-642-58360-5_5}, booktitle={Computational Molecular Dynamics: Challenges, Methods, Ideas}, author={Deuflhard, Peter and Dellnitz, Michael and Junge, Oliver and Schütte, Christof}, year={1999} }
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1999 | Journal Article | LibreCat-ID: 16511
@article{Aston_Dellnitz_1999, title={The computation of lyapunov exponents via spatial integration with application to blowout bifurcations}, DOI={10.1016/s0045-7825(98)00196-0}, journal={Computer Methods in Applied Mechanics and Engineering}, author={Aston, Philip J. and Dellnitz, Michael}, year={1999}, pages={223–237} }
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1998 | Journal Article | LibreCat-ID: 16536
@article{Dellnitz_Junge_1998, title={An adaptive subdivision technique for the approximation of attractors and invariant measures}, DOI={10.1007/s007910050006}, journal={Computing and Visualization in Science}, author={Dellnitz, Michael and Junge, Oliver}, year={1998}, pages={63–68} }
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1997 | Journal Article | LibreCat-ID: 17015
@article{Dellnitz_Hohmann_1997, title={A subdivision algorithm for the computation of unstable manifolds and global attractors}, volume={75}, DOI={10.1007/s002110050240}, journal={Numerische Mathematik}, author={Dellnitz, Michael and Hohmann, Andreas}, year={1997}, pages={293–317} }
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1997 | Journal Article | LibreCat-ID: 16614
@article{Guder_Dellnitz_Kreuzer_1997, title={An adaptive method for the approximation of the generalized cell mapping}, DOI={10.1016/s0960-0779(96)00118-x}, journal={Chaos, Solitons & Fractals}, author={Guder, Rabbijah and Dellnitz, Michael and Kreuzer, Edwin}, year={1997}, pages={525–534} }
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1997 | Journal Article | LibreCat-ID: 16552
@article{Dellnitz_Hohmann_Junge_Rumpf_1997, title={Exploring invariant sets and invariant measures}, DOI={10.1063/1.166223}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, author={Dellnitz, Michael and Hohmann, Andreas and Junge, Oliver and Rumpf, Martin}, year={1997}, pages={221–228} }
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1997 | Journal Article | LibreCat-ID: 16535
@article{Dellnitz_Junge_1997, title={Almost Invariant Sets in Chua’s Circuit}, DOI={10.1142/s0218127497001655}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Junge, Oliver}, year={1997}, pages={2475–2485} }
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1996 | Book Chapter | LibreCat-ID: 16533
@inbook{Dellnitz_Hohmann_1996, place={Basel}, title={The Computation of Unstable Manifolds Using Subdivision and Continuation}, DOI={10.1007/978-3-0348-7518-9_21}, booktitle={Nonlinear Dynamical Systems and Chaos}, author={Dellnitz, Michael and Hohmann, Andreas}, year={1996} }
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1995 | Journal Article | LibreCat-ID: 16550
@article{Dellnitz_Field_Golubitsky_Ma_Hohmann_1995, title={Cycling Chaos}, DOI={10.1142/s0218127495000909}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Field, Michael and Golubitsky, Martin and Ma, Jun and Hohmann, Andreas}, year={1995}, pages={1243–1247} }
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1995 | Journal Article | LibreCat-ID: 16532
@article{Dellnitz_Heinrich_1995, title={Admissible symmetry increasing bifurcations}, DOI={10.1088/0951-7715/8/6/009}, journal={Nonlinearity}, author={Dellnitz, M and Heinrich, C}, year={1995}, pages={1039–1066} }
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1995 | Journal Article | LibreCat-ID: 16551
@article{Dellnitz_Golubitsky_Hohmann_Stewart_1995, title={Spirals in Scalar Reaction–Diffusion Equations}, DOI={10.1142/s0218127495001149}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Golubitsky, Martin and Hohmann, Andreas and Stewart, Ian}, year={1995}, pages={1487–1501} }
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1995 | Book Chapter | LibreCat-ID: 16611
@inbook{Golubitsky_Marsden_Stewart_Dellnitz_1995, place={Providence, Rhode Island}, title={The constrained Liapunov-Schmidt procedure and periodic orbits}, DOI={10.1090/fic/004/05}, booktitle={Normal Forms and Homoclinic Chaos}, author={Golubitsky, Martin and Marsden, Jerrold and Stewart, Ian and Dellnitz, Michael}, year={1995} }
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1995 | Journal Article | LibreCat-ID: 16510
@article{Aston_Dellnitz_1995, title={Symmetry Breaking Bifurcations of Chaotic Attractors}, DOI={10.1142/s021812749500123x}, journal={International Journal of Bifurcation and Chaos}, author={Aston, Philip J. and Dellnitz, Michael}, year={1995}, pages={1643–1676} }
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1995 | Journal Article | LibreCat-ID: 16542
@article{Dellnitz_Melbourne_1995, title={A note on the shadowing lemma and symmetric periodic points}, DOI={10.1088/0951-7715/8/6/010}, journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I}, year={1995}, pages={1067–1075} }
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1994 | Book Chapter | LibreCat-ID: 16549
@inbook{Dellnitz_Golubitsky_Nicol_1994, place={New York, NY}, title={Symmetry of Attractors and the Karhunen-Loève Decomposition}, DOI={10.1007/978-1-4612-0859-4_4}, booktitle={Trends and Perspectives in Applied Mathematics}, author={Dellnitz, Michael and Golubitsky, Martin and Nicol, Matthew}, year={1994} }
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1994 | Book Chapter | LibreCat-ID: 16544
@inbook{Dellnitz_Scheurle_1994, place={Dordrecht}, title={Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom}, DOI={10.1007/978-94-011-0956-7_9}, booktitle={Dynamics, Bifurcation and Symmetry}, author={Dellnitz, Michael and Scheurle, Jürgen}, year={1994} }
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1994 | Journal Article | LibreCat-ID: 16541
@article{Dellnitz_Melbourne_1994, title={Generic movement of eigenvalues for equivariant self-adjoint matrices}, DOI={10.1016/0377-0427(94)90032-9}, journal={Journal of Computational and Applied Mathematics}, author={Dellnitz, Michael and Melbourne, Ian}, year={1994}, pages={249–259} }
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1994 | Journal Article | LibreCat-ID: 17014
@article{Dellnitz_1994, title={Collisions of chaotic attractors}, journal={Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg}, author={Dellnitz, Michael}, year={1994}, pages={411–428} }
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1993 | Journal Article | LibreCat-ID: 16633
@article{Melbourne_Dellnitz_1993, title={Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group}, DOI={10.1017/s0305004100071577}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, author={Melbourne, Ian and Dellnitz, Michael}, year={1993}, pages={235–268} }
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1993 | Journal Article | LibreCat-ID: 16518
@article{Barany_Dellnitz_Golubitsky_1993, title={Detecting the symmetry of attractors}, DOI={10.1016/0167-2789(93)90198-a}, journal={Physica D: Nonlinear Phenomena}, author={Barany, Ernest and Dellnitz, Michael and Golubitsky, Martin}, year={1993}, pages={66–87} }
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1993 | Journal Article | LibreCat-ID: 16634
@article{Melbourne_Dellnitz_Golubitsky_1993, title={The structure of symmetric attractors}, DOI={10.1007/bf00386369}, journal={Archive for Rational Mechanics and Analysis}, author={Melbourne, Ian and Dellnitz, Michael and Golubitsky, Martin}, year={1993}, pages={75–98} }
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1993 | Journal Article | LibreCat-ID: 17013
@article{Dellnitz_1993, title={The equivariant Darboux theorem}, volume={29}, journal={Lectures in Applied Mathematics}, author={Dellnitz, Michael}, year={1993}, pages={163–169} }
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1992 | Journal Article | LibreCat-ID: 16548
@article{Dellnitz_Melbourne_Marsden_1992, title={Generic bifurcation of Hamiltonian vector fields with symmetry}, DOI={10.1088/0951-7715/5/4/008}, journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I and Marsden, J E}, year={1992}, pages={979–996} }
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1992 | Journal Article | LibreCat-ID: 17012
@article{Dellnitz_1992, title={Computational bifurcation of periodic solutions in systems with symmetry}, volume={12}, DOI={10.1093/imanum/12.3.429}, number={3}, journal={IMA Journal of Numerical Analysis}, author={Dellnitz, Michael}, year={1992}, pages={429–455} }
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1992 | Book Chapter | LibreCat-ID: 16546
@inbook{Dellnitz_Golubitsky_Melbourne_1992, place={Basel}, title={Mechanisms of Symmetry Creation}, DOI={10.1007/978-3-0348-7536-3_9}, booktitle={Bifurcation and Symmetry}, author={Dellnitz, Michael and Golubitsky, Martin and Melbourne, Ian}, year={1992} }
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1992 | Book Chapter | LibreCat-ID: 16547
@inbook{Dellnitz_Marsden_Melbourne_Scheurle_1992, place={Basel}, title={Generic Bifurcations of Pendula}, DOI={10.1007/978-3-0348-7536-3_10}, booktitle={Bifurcation and Symmetry}, author={Dellnitz, Michael and Marsden, Jerrold E. and Melbourne, Ian and Scheurle, Jürgen}, year={1992} }
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1989 | Journal Article | LibreCat-ID: 16682
@article{Dellnitz_Werner_1989, title={Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points}, DOI={10.1016/0377-0427(89)90150-7}, journal={Journal of Computational and Applied Mathematics}, author={Dellnitz, Michael and Werner, Bodo}, year={1989}, pages={97–123} }
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