Overview
- Editors:
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Bernold Fiedler
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Freie Universität Berlin Institut für Mathematik I, Berlin, Germany
- Presentation of very recent results in a major research area
- Includes supplementary material: sn.pub/extras
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Table of contents (31 papers)
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- Frédéric Guyard, Reiner Lauterbach
Pages 453-468
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- Cheng-Hung Chang, Dieter H. Mayer
Pages 523-562
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- Alexander Mielke, Guido Schneider, Hannes Uecker
Pages 563-583
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- Hannes Hartenstein, Matthias Ruhl, Dietmar Saupe, Edward R. Vrscay
Pages 617-647
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- Matthias Rumberger, Jürgen Scheurle
Pages 649-689
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- Christiane Helzel, Gerald Warnecke
Pages 775-803
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Back Matter
Pages 805-820
About this book
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.
Editors and Affiliations
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Freie Universität Berlin Institut für Mathematik I, Berlin, Germany
Bernold Fiedler