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228 Publications
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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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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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.
LibreCat
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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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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