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2010, ISBN: 9783642083556

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Random Dynamical Systems / Ludwig Arnold / Taschenbuch / Springer Monographs in Mathematics / Paperback / xv / Englisch / 2010 / Springer Berlin / EAN 9783642083556 - Arnold, Ludwig
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Arnold, Ludwig:

Random Dynamical Systems / Ludwig Arnold / Taschenbuch / Springer Monographs in Mathematics / Paperback / xv / Englisch / 2010 / Springer Berlin / EAN 9783642083556 - Pasta blanda

2010, ISBN: 9783642083556

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[ED: Taschenbuch], [PU: Springer Berlin], The first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random map… Más…

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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) - Pasta blanda

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… Más…

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

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… Más…

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*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… Más…

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Detalles del libro
Random Dynamical Systems
Autor:
Título:
ISBN:

9783642083556


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.

Detalles del libro - Random Dynamical Systems


EAN (ISBN-13): 9783642083556
ISBN (ISBN-10): 3642083552
Tapa dura
Tapa blanda
Año de publicación: 2010
Editorial: Springer Berlin Heidelberg

Libro en la base de datos desde 2010-10-07T09:53:22-05:00 (Mexico City)
Página de detalles modificada por última vez el 2024-03-22T11:45:43-06:00 (Mexico City)
ISBN/EAN: 9783642083556

ISBN - escritura alterna:
3-642-08355-2, 978-3-642-08355-6
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Autor del libro: arnold, ludwig
Título del libro: rando, springer mathematics, ludwig arnold, random dynamical systems, englisch berlin

Datos del la editorial

Autor: Ludwig Arnold
Título: Springer Monographs in Mathematics; Random Dynamical Systems
Editorial: Springer; Springer Berlin
586 Páginas
Año de publicación: 2010-12-15
Berlin; Heidelberg; DE
Impreso en
Idioma: Inglés
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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