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Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

Herausgeber: Fiedler, Bernold (Ed.)

  • Presentation of very recent results in a major research area

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  • ISBN 978-3-642-56589-2
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  • ISBN 978-3-642-62524-4
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Über dieses Buch

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.

Inhaltsverzeichnis (31 Kapitel)

  • Random Attractors: Robustness, Numerics and Chaotic Dynamics

    Ochs, Gunter

    Seiten 1-30

  • Self-Similar Measures

    Bandt, Christoph

    Seiten 31-46

  • Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension

    Beyn, Wolf-Jürgen (et al.)

    Seiten 47-72

  • On Hybrid Methods for Bifurcation and Center Manifolds for General Operators

    Böhmer, Klaus

    Seiten 73-107

  • Dimension Theory of Smooth Dynamical Systems

    Schmeling, Jörg

    Seiten 109-129

Dieses Buch kaufen

eBook 71,39 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-642-56589-2
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 93,08 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-642-62524-4
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems
Herausgeber
  • Bernold Fiedler
Copyright
2001
Verlag
Springer-Verlag Berlin Heidelberg
Copyright Inhaber
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
Auflage
1
Seitenzahl
XI, 820
Themen