Random Perturbations of Dynamical Systems, Mark I. Freidlin; J. Sz?cs; Alexander D. Wentzell

Автор: Christiaan Heij
Название: Deterministic Identification of Dynamical Systems
ISBN: 354051323X ISBN-13(EAN): 9783540513230
Издательство: Springer
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Описание: In deterministic identification the identified system is determined on the basis of a complexity measure of models and a misfit measure of models with respect to data. For the case of exact modelling a procedure is presented which is inspired by objectives of simplicity and corroboration.

Автор: R. F. Curtain
Название: Stability of Stochastic Dynamical Systems
ISBN: 3540060502 ISBN-13(EAN): 9783540060505
Издательство: Springer
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Автор: John H. Argyris; Gunter Faust; Maria Haase; Rudolf
Название: An Exploration of Dynamical Systems and Chaos
ISBN: 3662510898 ISBN-13(EAN): 9783662510896
Издательство: Springer
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Цена: 14365.00 р.
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Описание:

This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincar section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics.

This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures.

"This book will be of valuable help for my lectures" Hermann Haken, Stuttgart

"This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, W rzburg

"This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications." Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany

Автор: Klaus Schmidt
Название: Dynamical Systems of Algebraic Origin
ISBN: 3034899572 ISBN-13(EAN): 9783034899574
Издательство: Springer
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Автор: Dominik Ballreich
Название: Stable and Efficient Cubature-based Filtering in Dynamical Systems
ISBN: 3319621297 ISBN-13(EAN): 9783319621296
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The book addresses the problem of calculation of d-dimensional integrals (conditional expectations) in filter problems. It develops new methods of deterministic numerical integration, which can be used to speed up and stabilize filter algorithms.

Автор: Tom?s Caraballo; Xiaoying Han
Название: Applied Nonautonomous and Random Dynamical Systems
ISBN: 3319492462 ISBN-13(EAN): 9783319492469
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences.

Автор: Zhendong Sun; Shuzhi Sam Ge
Название: Stability Theory of Switched Dynamical Systems
ISBN: 1447126246 ISBN-13(EAN): 9781447126249
Издательство: Springer
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Цена: 16977.00 р.
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Описание: This book presents a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching, constrained switching, and designed switching. Includes many motivating and illustrative examples.