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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Random Dynamical Systems
• Author: Ludwig Arnold
• Language: English
• Binding: Hardback
• Number of pages: 586
• EAN: 9783540637585
• ISBN: 3540637583
• ID: 01566514
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 1080 g
• Dimensions: 166 × 242 × 38 mm
• Date of publishing: 19. August 1998

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