Lyapunov Exponents, Ludwig Arnold; Hans Crauel; Jean-Pierre Eckmann

Автор: Yor Marc
Название: Exponential Functionals of Brownian Motion and Related Processes
ISBN: 3540659439 ISBN-13(EAN): 9783540659433
Издательство: Springer
Цена: 65170.00 T
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Описание: This volume collects papers about the laws of geometric Brownian motions and their time-integrals, written by the author and coauthors between 1988 and 1998. These functionals play an important role in Mathematical Finance, as well as in (probabilistic) studies related to hyperbolic geometry, and also to random media. Throughout the volume, connections with more recent studies involving exponential functionals of LГ©vy processes are indicated. Some papers originally published in French are made available in English for the first time.

Автор: Wolfgang Siegert
Название: Local Lyapunov Exponents
ISBN: 3540859632 ISBN-13(EAN): 9783540859635
Издательство: Springer
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Цена: 41880.00 T
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Описание: Establishing a fresh concept of local Lyapunov exponents, the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too.

Автор: Pedro Duarte; Silvius Klein
Название: Lyapunov Exponents of Linear Cocycles
ISBN: 9462391238 ISBN-13(EAN): 9789462391239
Издательство: Springer
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Цена: 88500.00 T
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Описание: The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber dynamics associated with the linear cocycle.

Автор: Franco Garofalo; Luigi Glielmo
Название: Robust Control via Variable Structure and Lyapunov Techniques
ISBN: 3540760679 ISBN-13(EAN): 9783540760672
Издательство: Springer
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Цена: 113190.00 T
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Описание: This text covers a large spectrum of recent research and innovative ideas in the field of robust control research employing the variable structure control method and Lyapunov`s second method. The book surveys control Lyapunov functions and introduces the geometric theory of "flat" systems.

Автор: Nikolay Sidorov; Boris Loginov; A.V. Sinitsyn; M.V
Название: Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications
ISBN: 1402009410 ISBN-13(EAN): 9781402009419
Издательство: Springer
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Цена: 130430.00 T
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Описание: Concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE`s in mechanics and mathematical physics. This book covers regular iterative methods in a neighborhood of branch points, and more.

Автор: Leonid Shaikhet
Название: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
ISBN: 3319033522 ISBN-13(EAN): 9783319033525
Издательство: Springer
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Цена: 113180.00 T
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Описание: This book offers a detailed description of Lyapunov functional construction. It features profuse analytical and numerical examples and demonstrates a method that can be usefully applied in economic, mechanical, biological and ecological systems.

Автор: Leonid Shaikhet
Название: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
ISBN: 3319001000 ISBN-13(EAN): 9783319001005
Издательство: Springer
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Цена: 121890.00 T
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Описание: This book offers a detailed description of Lyapunov functional construction. It features profuse analytical and numerical examples and demonstrates a method that can be usefully applied in economic, mechanical, biological and ecological systems.

Автор: Langtangen, Hans Petter
Название: Finite difference computing with exponential decay models
ISBN: 3319294385 ISBN-13(EAN): 9783319294384
Издательство: Springer
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Цена: 46570.00 T
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Описание: This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization.

Автор: Viana
Название: Lectures on Lyapunov Exponents
ISBN: 1107081734 ISBN-13(EAN): 9781107081734
Издательство: Cambridge Academ
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Цена: 47510.00 T
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Описание: The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.

Автор: V. Lakshmikantham; V.M. Matrosov; S. Sivasundaram
Название: Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems
ISBN: 0792311523 ISBN-13(EAN): 9780792311522
Издательство: Springer
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Цена: 71730.00 T
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Описание: One service mathematics has rendered the 'Et moi, "', si j'avait su comment en revenir, je n'y serais point all."' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Автор: Norihiko Kazamaki
Название: Continuous Exponential Martingales and BMO
ISBN: 3540580425 ISBN-13(EAN): 9783540580423
Издательство: Springer
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Цена: 23250.00 T
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Описание: In three chapters on Exponential Martingales, BMO-martingales, and Exponential of BMO, this book explains in detail the beautiful properties of continuous exponential martingales that play an essential role in various questions concerning the absolute continuity of probability laws of stochastic processes.

Автор: Sergei A. Avdonin , Sergei A. Ivanov
Название: Families of Exponentials
ISBN: 0521452430 ISBN-13(EAN): 9780521452434
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: This book presents the newly developed theory of non-harmonic Fourier series and its applications to the control of distributed parameter systems. The modern theory of exponentials and the method of moments are the primary tools used. Applications to various types of control problems are discussed.