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Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

  • Bernold Fiedler
Conference proceedings

Table of contents

  1. Front Matter
    Pages I-XI
  2. Christoph Bandt
    Pages 31-46
  3. Wolf-Jürgen Beyn, Winfried Kleß, Vera Thümmler
    Pages 47-72
  4. Jörg Schmeling
    Pages 109-129
  5. Fritz Colonius, Wolfgang Kliemann
    Pages 131-144
  6. Michael Dellnitz, Gary Froyland, Oliver Junge
    Pages 145-174
  7. Manfred Denker, Stefan-M. Heinemann
    Pages 175-189
  8. Ch. Schütte, W. Huisinga, P. Deuflhard
    Pages 191-223
  9. Michael Fried, Andreas Veeser
    Pages 225-252
  10. F. Feudel, S. Rüdiger, N. Seehafer
    Pages 253-270
  11. Ale Jan Homburg
    Pages 271-286
  12. Heinrich Freistühler, Christian Fries, Christian Rohde
    Pages 287-309
  13. K. P. Hadeler, Johannes Müller
    Pages 311-332
  14. Gerhard Keller, Matthias St. Pierre
    Pages 333-361
  15. Mariana Hărăguş-Courcelle, Klaus Kirchgässner
    Pages 363-397
  16. L. Grüne, P. E. Kloeden
    Pages 399-416
  17. J. Becker, D. Bürkle, R.-T. Happe, T. Preußer, M. Rumpf, M. Spielberg et al.
    Pages 417-430
  18. Markus Kunze, Tassilo Küpper
    Pages 431-452
  19. Frédéric Guyard, Reiner Lauterbach
    Pages 453-468
  20. Felix Otto
    Pages 501-522
  21. Alexander Mielke, Guido Schneider, Hannes Uecker
    Pages 563-583
  22. Hannes Hartenstein, Matthias Ruhl, Dietmar Saupe, Edward R. Vrscay
    Pages 617-647
  23. Matthias Rumberger, Jürgen Scheurle
    Pages 649-689
  24. A. Bäcker, F. Steiner
    Pages 717-751
  25. Back Matter
    Pages 805-820

About these proceedings

Introduction

This book summarizes and highlights progress in our understanding of Dy­ namical Systems during six years of the German Priority Research Program "Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems" . The program was funded by the Deutsche Forschungsgemeinschaft (DFG) and aimed at combining, focussing, and enhancing research efforts of active groups in the field by cooperation on a federal level. The surveys in the book are addressed to experts and non-experts in the mathematical community alike. In addition they intend to convey the significance of the results for applications far into the neighboring disciplines of Science. Three fundamental topics in Dynamical Systems are at the core of our research effort: behavior for large time dimension measure, and chaos Each of these topics is, of course, a highly complex problem area in itself and does not fit naturally into the deplorably traditional confines of any of the disciplines of ergodic theory, analysis, or numerical analysis alone. The necessity of mathematical cooperation between these three disciplines is quite obvious when facing the formidahle task of establishing a bidirectional transfer which bridges the gap between deep, detailed theoretical insight and relevant, specific applications. Both analysis and numerical analysis playa key role when it comes to huilding that bridge. Some steps of our joint bridging efforts are collected in this volume. Neither our approach nor the presentations in this volume are monolithic.

Keywords

algorithms analysis calculus chaos dimension dynamical systems efficient simulation ergodic theory invariant measures large time behaviour quantum chaos

Editors and affiliations

  • Bernold Fiedler
    • 1
  1. 1.Freie Universität Berlin Institut für Mathematik IBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-56589-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-62524-4
  • Online ISBN 978-3-642-56589-2
  • Buy this book on publisher's site