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: 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 Рейтинг: Цена: 10760.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Viana Название: Lectures on Lyapunov Exponents ISBN: 1107081734 ISBN-13(EAN): 9781107081734 Издательство: Cambridge Academ Рейтинг: Цена: 7126.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: Wolfgang Siegert Название: Local Lyapunov Exponents ISBN: 3540859632 ISBN-13(EAN): 9783540859635 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Ok, E. Название: Real analysis with economic applications ISBN: 0691117683 ISBN-13(EAN): 9780691117683 Издательство: Wiley Рейтинг: Цена: 17266.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Addressing the topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. It includes fixed point theorems and applications to functional equations and optimization theory.
Автор: Pedro Duarte; Silvius Klein Название: Lyapunov Exponents of Linear Cocycles ISBN: 9462391238 ISBN-13(EAN): 9789462391239 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Ludwig Arnold; Hans Crauel; Jean-Pierre Eckmann Название: Lyapunov Exponents ISBN: 3540546626 ISBN-13(EAN): 9783540546627 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Examines all significant recent progress made in the theory and applications of a key component of dynamical systems, known as the Lyapunov exponents. Emphasis is placed on shifts towards nonlinear and infinite-dimensional systems and observable engineering applications.
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