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)