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Random Dynamical Systems (Springer Monographs in Mathematics) - Arnold, Ludwig
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Arnold, Ludwig:

Random Dynamical Systems (Springer Monographs in Mathematics) - Paperback

2010, ISBN: 9783642083556

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1998, 608 Seiten, Publiziert: 2010-12-15T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 1.86 kg, Statist… More...

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Random Dynamical Systems (Springer Monographs in Mathematics) - Arnold, Ludwig
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Arnold, Ludwig:

Random Dynamical Systems (Springer Monographs in Mathematics) - Paperback

2010, ISBN: 9783642083556

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1998, 608 Seiten, Publiziert: 2010-12-15T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 1.86 kg, Statist… More...

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Random Dynamical Systems (Springer Monographs in Mathematics) - Arnold, Ludwig
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Arnold, Ludwig:
Random Dynamical Systems (Springer Monographs in Mathematics) - Paperback

2010

ISBN: 9783642083556

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1998, 608 Seiten, Publiziert: 2010-12-15T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 1.86 kg, Statist… More...

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Random Dynamical Systems - Ludwig Arnold
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Ludwig Arnold:
Random Dynamical Systems - Paperback

ISBN: 9783642083556

*Random Dynamical Systems* - Softcover reprint of hardcover 1st ed. 1998 / Taschenbuch für 128.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartonie… More...

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Arnold, Ludwig:
Random Dynamical Systems (Springer Monographs in Mathematics) - Paperback

2010, ISBN: 3642083552

[EAN: 9783642083556], Gebraucht, wie neu, [PU: Springer], Like New, Books

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Details of the book
Random Dynamical Systems

The first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random mappings as well as random and stochastic differential equations. The basic multiplicative ergodic theorem is presented, providing a random substitute for linear algebra. On its basis, many applications are detailed. Numerous instructive examples are treated analytically or numerically.

Details of the book - Random Dynamical Systems


EAN (ISBN-13): 9783642083556
ISBN (ISBN-10): 3642083552
Hardcover
Paperback
Publishing year: 2010
Publisher: Springer Berlin Heidelberg

Book in our database since 2010-10-07T15:53:22+01:00 (London)
Detail page last modified on 2023-08-19T10:52:07+01:00 (London)
ISBN/EAN: 9783642083556

ISBN - alternate spelling:
3-642-08355-2, 978-3-642-08355-6
Alternate spelling and related search-keywords:
Book author: arnold, ludwig
Book title: rando, springer mathematics, ludwig arnold, random dynamical systems


Information from Publisher

Author: Ludwig Arnold
Title: Springer Monographs in Mathematics; Random Dynamical Systems
Publisher: Springer; Springer Berlin
586 Pages
Publishing year: 2010-12-15
Berlin; Heidelberg; DE
Printed / Made in
Language: English
139,09 € (DE)
142,99 € (AT)
153,50 CHF (CH)
POD
XV, 586 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Kozykel; Markov; Measure; Transformation; cocycles; glatte Ergodentheorie; linear algebra; multiplicative ergodic theory; multiplikative Ergodentheorie; random dynamical systems; smooth ergodic theory; stochastic bifurcation theory; stochastische Bifurkationstheorie; zufällige dynamische Systeme; Analysis; Integral Equations; Dynamical Systems; Probability Theory; Complex Systems; Systems Theory, Control; Integralrechnung und -gleichungen; Kybernetik und Systemtheorie; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; BB

This book is the first systematic presentation of the theory of random dynamical systems, i.e. of dynamical systems under the influence of some kind of randomness. The theory comprises products of random mappings as well as random and stochastic differential equations. The author's approach is based on Oseledets'multiplicative ergodic theorem for linear random systems, for which a detailed proof is presented. This theorem provides us with a random substitute of linear algebra and hence can serve as the basis of a local theory of nonlinear random systems. In particular, global and local random invariant manifolds are constructed and their regularity is proved. Techniques for simplifying a system by random continuous or smooth coordinate tranformations are developed (random Hartman-Grobman theorem, random normal forms). Qualitative changes in families of random systems (random bifurcation theory) are also studied. A dynamical approach is proposed which is based on sign changes of Lyapunov exponents and which extends the traditional phenomenological approach based on the Fokker-Planck equation. Numerous instructive examples are treated analytically or numerically. The main intention is, however, to present a reliable and rather complete source of reference which lays the foundations for future works and applications.
This is the first comprehensive monograph on this active subject, dealing with the fundamentals through to current research, and written by one of the leaders in the field. Includes supplementary material: sn.pub/extras

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9783540637585 Random Dynamical Systems (Springer Monographs in Mathematics) (Arnold, Ludwig)


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