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Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: I. Random Dynamical Systems and Their Generators: Basic Definitions. Invariant Measures. Generation.- II. Multiplicative Ergodic Theory:in Euclidean Space, on Bundles,for Rela ted Linear Random Dynamical Systems, Random Dynamcial Systems on Homogeneous Spaces. III. Smooth Random Dynamical Systems: Invariant Manifolds, Normal Forms, Bifurcation Theory. IV. Appendices: Measurable Systems, Smooth Dynamical Systems. Buchnummer des Verkäufers

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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.

Klappentext: 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.

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Arnold, Ludwig:
Verlag: Berlin, Springer, 1998. (1998)
ISBN 10: 3540637583 ISBN 13: 9783540637585
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Buchbeschreibung Berlin, Springer, 1998., 1998. Springer Monographs in Mathematics. XV, 586 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped. Buchnummer des Verkäufers 4154DB

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Ludwig Arnold
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Buchbeschreibung Springer 1998-08-19, 1998. Hardcover. Buchzustand: New. Buchnummer des Verkäufers NU-LBR-00730053

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Ludwig Arnold
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Buchbeschreibung Springer Berlin Heidelberg 1998-08-19, Berlin |London, 1998. hardback. Buchzustand: New. Buchnummer des Verkäufers 9783540637585

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Ludwig Arnold
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Buchbeschreibung Springer, 2003. Hardcover. Buchzustand: New. This item is printed on demand. Buchnummer des Verkäufers DADAX3540637583

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Buchbeschreibung Springer-Verlag Gmbh Jan 1998, 1998. Buch. Buchzustand: Neu. 243x193x41 mm. Neuware - This book is the first systematic presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochasticdifferential equations. The basic mulitplicative ergodic theorem is presented and provides a random substitute for linear algebra. On its basis random invariant manifolds are constructed, systems are simplified by smooth random coordinate transformations (random normal forms), and qualitative changes in families of random systems (random bifurcation theory) are studied. Numerous instructive examples are treated analytically or numerically. The main intention, however, is to present a reliable and rather complete source of reference which lays the foundation for future work and applications. 586 pp. Deutsch. Buchnummer des Verkäufers 9783540637585

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Buchbeschreibung Springer-Verlag Gmbh Jan 1998, 1998. Buch. Buchzustand: Neu. 243x193x41 mm. Neuware - This book is the first systematic presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochasticdifferential equations. The basic mulitplicative ergodic theorem is presented and provides a random substitute for linear algebra. On its basis random invariant manifolds are constructed, systems are simplified by smooth random coordinate transformations (random normal forms), and qualitative changes in families of random systems (random bifurcation theory) are studied. Numerous instructive examples are treated analytically or numerically. The main intention, however, is to present a reliable and rather complete source of reference which lays the foundation for future work and applications. 586 pp. Deutsch. Buchnummer des Verkäufers 9783540637585

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Buchbeschreibung Springer-Verlag Gmbh Jan 1998, 1998. Buch. Buchzustand: Neu. 243x193x41 mm. Neuware - This book is the first systematic presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochasticdifferential equations. The basic mulitplicative ergodic theorem is presented and provides a random substitute for linear algebra. On its basis random invariant manifolds are constructed, systems are simplified by smooth random coordinate transformations (random normal forms), and qualitative changes in families of random systems (random bifurcation theory) are studied. Numerous instructive examples are treated analytically or numerically. The main intention, however, is to present a reliable and rather complete source of reference which lays the foundation for future work and applications. 586 pp. Deutsch. Buchnummer des Verkäufers 9783540637585

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Ludwig Arnold
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Buchbeschreibung Springer-Verlag Gmbh Jan 1998, 1998. Buch. Buchzustand: Neu. 243x193x41 mm. Neuware - This book is the first systematic presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochasticdifferential equations. The basic mulitplicative ergodic theorem is presented and provides a random substitute for linear algebra. On its basis random invariant manifolds are constructed, systems are simplified by smooth random coordinate transformations (random normal forms), and qualitative changes in families of random systems (random bifurcation theory) are studied. Numerous instructive examples are treated analytically or numerically. The main intention, however, is to present a reliable and rather complete source of reference which lays the foundation for future work and applications. 586 pp. Deutsch. Buchnummer des Verkäufers 9783540637585

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Ludwig Arnold
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Buchbeschreibung Springer-Verlag Gmbh Jan 1998, 1998. Buch. Buchzustand: Neu. 243x193x41 mm. Neuware - 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. 586 pp. Deutsch. Buchnummer des Verkäufers 9783540637585

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LUDWIG ARNOLD
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Buchbeschreibung Springer, 1998. Hardback. Buchzustand: NEW. 9783540637585 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Buchnummer des Verkäufers HTANDREE0340793

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