Publications of 1997 to 2000

2000

  • Aston, Philip; Dellnitz, Michael:
    The computation of Lyapunov exponents via spatial integration using vector norms
    Proceedings of the Equadiff 99 (eds. B. Fiedler, K. Gröger and J. Sprekels), pp. 1015-1020, World Scientific, 2000. PDF-file (160k)

  • Dellnitz, Michael; Froyland, Gary; Sertl, Stefan:
    A conjecture on the existence of isolated eigenvalues of the Perron-Frobenius operator
    Proceedings of the Equadiff 99 (eds. B. Fiedler, K. Gröger and J. Sprekels), pp. 1030-1032, World Scientific, 2000.

  • Dellnitz, Michael; Froyland, Gary; Sertl, Stefan:
    On the isolated spectrum of the Perron-Frobenius operator
    Nonlinearity 13(4), pp. 1171-1188, 2000. PDF-file (390k)

  • Dellnitz, Michael; Junge, Oliver; Rumpf, Martin; Strzodka, Robert:
    The computation of an unstable invariant set inside a cylinder containing a knotted flow
    Proceedings of the Equadiff 99 (eds. B. Fiedler, K. Gröger and J. Sprekels), pp. 1053-1059, World Scientific, 2000. PDF-file (240k)

  • Froyland, Gary:
    Extracting dynamical behaviour via Markov models.
    Alistair Mees (eds.): ''Nonlinear Dynamics and Statistics: Proceedings, Newton Institute, Cambridge, 1998'', pp. 283-324, Birkhauser, 2000. PDF-file (1.6M)

  • Froyland, Gary:
    Markov modelling of random dynamical systems
    Proceedings of the Equadiff 99 (eds. B. Fiedler, K. Gröger and J. Sprekels), pp. 1033-1038, World Scientific, 2000. PDF-file (4.6M)

  • Junge, Oliver:
    Rigorous discretization of subdivision techniques
    Proceedings of the Equadiff 99 (eds. B. Fiedler, K. Gröger and J. Sprekels), pp. 916-918, World Scientific, 2000. PDF-file (160k)

1999

  • Bürkle, David; Dellnitz, Michael; Junge, Oliver; Rumpf, Martin; Spielberg, Michael:
    Visualizing Complicated Dynamics
    Proceedings of Visualization 99, 1999. PDF-file (620k)

  • Golubitsky, Martin; Dellnitz, Michael:
    Linear Algebra and Differential Equations Using Matlab.
    Brooks/Cole, 1999.

  • Dellnitz, Michael; Junge, Oliver:
    On the approximation of complicated dynamical behavior.
    SIAM Journal on Numerical Analysis 36(2), pp. 491-515, 1999. PDF-file (740k)

  • Aston, Philip; Dellnitz, Michael:
    The computation of Lyapunov exponents via spatial integration with application to blowout bifurcations.
    Computer Methods in Applied Mechanics and Engineering 170, pp. 223-237, 1999. PDF-file (1.2M)

1998

  • Deuflhard, Peter; Dellnitz, Michael; Junge, Oliver; Schütte, Christof:
    Computation of essential molecular dynamics by subdivision techniques I: basic concept.
    Deuflhard, P.; Hermans, J.; Leimkuhler, B.; Mark, A. E.; Reich, S.; Skeel, R. D. (eds.): Computational Molecular Dynamics: Challenges, Methods, Ideas
    Lecture Notes in Computational Science and Engineering 4, Springer-Verlag, pp. 98-115, 1998. PDF-file (1.4M)

  • Dellnitz, Michael; Junge, Oliver:
    An adaptive subdivision technique for the approximation of attractors and invariant measures.
    Comput. Visual. Sci. 1, pp. 63 - 68, 1998. PDF-file (310k)

1997

  • Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin:
    Exploring invariant sets and invariant measures.
    CHAOS: An Interdisciplinary Journal of Nonlinear Science 7(2), pp. 221, 1997. PDF-file (1.3M)

  • Guder, Rabbijah; Dellnitz, Michael; Kreuzer, Edwin:
    An adaptive method for the approximation of the generalized cell mapping.
    Chaos, Solitons and Fractals 8(4), pp. 525-534, 1997.

  • Dellnitz, Michael; Hohmann, Andreas:
    A subdivision algorithm for the computation of unstable manifolds and global attractors.
    Numerische Mathematik 75, pp. 293-317, 1997.

  • Dellnitz, Michael; Junge, Oliver:
    Almost invariant sets in Chua's circuit.
    Int. J. Bif. and Chaos 7(11), pp. 2475-2485, 1997. PDF-file (1.2M)

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