Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems
Editors: Fiedler, Bernold (Ed.)
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- About this book
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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.
- Table of contents (31 chapters)
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Random Attractors: Robustness, Numerics and Chaotic Dynamics
Pages 1-30
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Self-Similar Measures
Pages 31-46
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Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension
Pages 47-72
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On Hybrid Methods for Bifurcation and Center Manifolds for General Operators
Pages 73-107
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Dimension Theory of Smooth Dynamical Systems
Pages 109-129
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Table of contents (31 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems
- Editors
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- Bernold Fiedler
- Copyright
- 2001
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-56589-2
- DOI
- 10.1007/978-3-642-56589-2
- Softcover ISBN
- 978-3-642-62524-4
- Edition Number
- 1
- Number of Pages
- XI, 820
- Topics
