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228 Publications


2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz M, Froyland G, Junge O. The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems. In: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg; 2001. doi:10.1007/978-3-642-56589-2_7
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2001 | Book Chapter | LibreCat-ID: 16598
Froyland G. Extracting Dynamical Behavior via Markov Models. In: Nonlinear Dynamics and Statistics. Boston, MA; 2001. doi:10.1007/978-1-4612-0177-9_12
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2001 | Journal Article | LibreCat-ID: 16601
Froyland G, Junge O, Ochs G. Rigorous computation of topological entropy with respect to a finite partition. Physica D: Nonlinear Phenomena. 2001:68-84. doi:10.1016/s0167-2789(01)00216-0
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2001 | Journal Article | LibreCat-ID: 16617
Junge O. An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence. Dynamical Systems. 2001:213-222. doi:10.1080/14689360109696233
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2000 | Book Chapter | LibreCat-ID: 16513
Aston PJ, Dellnitz M. The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0196
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2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz M, Froyland G, Sertl S. A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0199
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2000 | Journal Article | LibreCat-ID: 16554
Dellnitz M, Froyland G, Sertl S. On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity. 2000:1171-1188. doi:10.1088/0951-7715/13/4/310
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2000 | Book Chapter | LibreCat-ID: 16616
Junge O. Rigorous discretization of subdivision techniques. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0178
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2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz M, Junge O, Rumpf M, Strzodka R. The computation of an unstable invariant set inside a cylinder containing a knotted flow. In: Equadiff 99. ; 2000:1053--1059. doi:10.1142/9789812792617_0204
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1999 | Journal Article | LibreCat-ID: 16511
Aston PJ, Dellnitz M. The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering. 1999:223-237. doi:10.1016/s0045-7825(98)00196-0
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1999 | Journal Article | LibreCat-ID: 16537
Dellnitz M, Junge O. On the Approximation of Complicated Dynamical Behavior. SIAM Journal on Numerical Analysis. 1999:491-515. doi:10.1137/s0036142996313002
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1999 | Book Chapter | LibreCat-ID: 16584
Deuflhard P, Dellnitz M, Junge O, Schütte C. Computation of Essential Molecular Dynamics by Subdivision Techniques. In: Computational Molecular Dynamics: Challenges, Methods, Ideas. Berlin, Heidelberg; 1999. doi: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. Visualizing Complicated Dynamics. Proceedings of Visualization 99. 1999.
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1998 | Journal Article | LibreCat-ID: 16536
Dellnitz M, Junge O. An adaptive subdivision technique for the approximation of attractors and invariant measures. Computing and Visualization in Science. 1998:63-68. doi:10.1007/s007910050006
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1997 | Journal Article | LibreCat-ID: 16535
Dellnitz M, Junge O. Almost Invariant Sets in Chua’s Circuit. International Journal of Bifurcation and Chaos. 1997:2475-2485. doi:10.1142/s0218127497001655
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1997 | Journal Article | LibreCat-ID: 16552
Dellnitz M, Hohmann A, Junge O, Rumpf M. Exploring invariant sets and invariant measures. Chaos: An Interdisciplinary Journal of Nonlinear Science. 1997:221-228. doi:10.1063/1.166223
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1997 | Journal Article | LibreCat-ID: 16614
Guder R, Dellnitz M, Kreuzer E. An adaptive method for the approximation of the generalized cell mapping. Chaos, Solitons & Fractals. 1997:525-534. doi:10.1016/s0960-0779(96)00118-x
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1997 | Journal Article | LibreCat-ID: 17015
Dellnitz M, Hohmann A. A subdivision algorithm for the computation of unstable manifolds and global attractors. Numerische Mathematik. 1997;75:293-317. doi:10.1007/s002110050240
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1996 | Book Chapter | LibreCat-ID: 16533
Dellnitz M, Hohmann A. The Computation of Unstable Manifolds Using Subdivision and Continuation. In: Nonlinear Dynamical Systems and Chaos. Basel; 1996. doi:10.1007/978-3-0348-7518-9_21
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1995 | Journal Article | LibreCat-ID: 16510
Aston PJ, Dellnitz M. Symmetry Breaking Bifurcations of Chaotic Attractors. International Journal of Bifurcation and Chaos. 1995:1643-1676. doi:10.1142/s021812749500123x
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