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Oscillations and Waves, M.I Rabinovich; D.I. Trubetskov


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Автор: M.I Rabinovich; D.I. Trubetskov
Название:  Oscillations and Waves
ISBN: 9780792304456
Издательство: Springer
Классификация:

ISBN-10: 0792304454
Обложка/Формат: Hardcover
Страницы: 578
Вес: 1.01 кг.
Дата издания: 30.11.1989
Серия: Mathematics and its Applications
Язык: English
Размер: 234 x 156 x 33
Основная тема: Mathematics
Подзаголовок: in Linear and Nonlinear Systems
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Et mai -...- si javait su comment en revenir. One service mathematics has rendered the je ny semis point aUe. human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled discarded non- The series is divergent; therefore we may be sense. Eric T. Bell able to do something with it. 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 detre of this series.


Asymptotic Representation of Relaxation Oscillations in Lasers

Автор: Elena V. Grigorieva; Sergey A. Kaschenko
Название: Asymptotic Representation of Relaxation Oscillations in Lasers
ISBN: 3319428594 ISBN-13(EAN): 9783319428598
Издательство: Springer
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Цена: 15372.00 р.
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Описание: In this book we analyze relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The models are based on rate equations taking into account periodic modulation of parameters, optoelectronic delayed feedback, mutual coupling between lasers, intermodal interaction and other factors.With the aim to study relaxation oscillations we present the special asymptotic method of integration for ordinary differential equations and differential-difference equations. As a result, they are reduced to discrete maps. Analyzing the maps we describe analytically such nonlinear phenomena in lasers as multistability of large-amplitude relaxation cycles, bifurcations of cycles, controlled switching of regimes, phase synchronization in an ensemble of coupled systems and others.The book can be fruitful for students and technicians in nonlinear laser dynamics and in differential equations.

Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

Автор: Guckenheimer, John Holmes, Philip
Название: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
ISBN: 1461270200 ISBN-13(EAN): 9781461270201
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.

IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems

Автор: Nguyen Van Dao; E.J. Kreuzer
Название: IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems
ISBN: 9401058091 ISBN-13(EAN): 9789401058094
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Proceedings of the IUTAM Symposium held in Hanoi, Vietnam from 2-5 March 1999

Optimal Control of Mechanical Oscillations

Автор: V. Silberschmidt; Agnessa Kovaleva
Название: Optimal Control of Mechanical Oscillations
ISBN: 3642084761 ISBN-13(EAN): 9783642084768
Издательство: Springer
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Цена: 23757.00 р.
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Описание: This book explores two important aspects of the optimal control of oscillatory systems: the initiation of optimal oscillatory regimes and control possibilities for random disturbances. The main content of the book is based upon assertions of the optimal control theory and the disturbance theory.

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Автор: Guckenheimer John, Holmes Philip
Название: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
ISBN: 0387908196 ISBN-13(EAN): 9780387908199
Издательство: Springer
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Цена: 18167.00 р.
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Описание: From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2

Nonlinear Oscillations and Waves in Dynamical Systems

Автор: P.S Landa
Название: Nonlinear Oscillations and Waves in Dynamical Systems
ISBN: 0792339312 ISBN-13(EAN): 9780792339311
Издательство: Springer
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Описание: This volume is a treatment of the theory of nonlinear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified point of view.

Almost Periodic Oscillations and Waves

Автор: Constantin Corduneanu
Название: Almost Periodic Oscillations and Waves
ISBN: 1441918906 ISBN-13(EAN): 9781441918901
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book presents the latest in almost periodic oscillations and waves. It offers the foundations for the theory as well as the basic facts relating to almost periodicity through six unifying chapters that treat various classes of almost periodic functions.

Singularities and Oscillations

Автор: Jeffrey Rauch; Michael Taylor
Название: Singularities and Oscillations
ISBN: 0387982000 ISBN-13(EAN): 9780387982007
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers.

Elements of the Mathematical Theory of Multi-Frequency Oscillations

Автор: Anatolii M. Samoilenko
Название: Elements of the Mathematical Theory of Multi-Frequency Oscillations
ISBN: 0792314387 ISBN-13(EAN): 9780792314387
Издательство: Springer
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Shocks, singularities and oscillations in nonlinear optics and fluid mechanics

Название: Shocks, singularities and oscillations in nonlinear optics and fluid mechanics
ISBN: 3319520415 ISBN-13(EAN): 9783319520414
Издательство: Springer
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Описание: The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015.


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