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Asymptotic Representation of Relaxation Oscillations in Lasers, Elena V. Grigorieva; Sergey A. Kaschenko


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Автор: Elena V. Grigorieva; Sergey A. Kaschenko
Название:  Asymptotic Representation of Relaxation Oscillations in Lasers
ISBN: 9783319428598
Издательство: Springer
Классификация:





ISBN-10: 3319428594
Обложка/Формат: Hardback
Страницы: 230
Вес: 0.53 кг.
Дата издания: 2017
Серия: Understanding complex systems
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 73 illustrations, black and white; viii, 230 p. 73 illus.
Размер: 234 x 156 x 14
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
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.
Дополнительное описание:
1 Introduction.- 2 Spiking in Single-Mode Laser.- 3 Spiking in Lasers with Delayed Feedback.- 4 Rectangular Pulsing in Lasers with Delayed Feedback.- 5 Relaxation Oscillations in Coupled Laser Systems.- Appendixes.-
References.




Principles of lasers. 5 ed.

Автор: Svelto, Orazio
Название: Principles of lasers. 5 ed.
ISBN: 1441913017 ISBN-13(EAN): 9781441913012
Издательство: Springer
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Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This fifth edition of Principles of Lasers includes corrections to the previous edition as well as being the first available as an ebook. Its mission remains to provide a broad, unified description of laser behavior, physics, technology, and applications.

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

Some Asymptotic Problems in the Theory of Partial Differential Equations

Автор: Olga Oleinik
Название: Some Asymptotic Problems in the Theory of Partial Differential Equations
ISBN: 0521480833 ISBN-13(EAN): 9780521480833
Издательство: Cambridge Academ
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Цена: 19325.00 р.
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Описание: In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more.

Some Asymptotic Problems in the Theory of Partial Differential Equations

Автор: Olga Oleinik
Название: Some Asymptotic Problems in the Theory of Partial Differential Equations
ISBN: 0521485371 ISBN-13(EAN): 9780521485371
Издательство: Cambridge Academ
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Цена: 8078.00 р.
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Описание: In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more.

Asymptotic Behaviour of Solutions of Evolutionary Equations

Автор: M. I. Vishik
Название: Asymptotic Behaviour of Solutions of Evolutionary Equations
ISBN: 0521420237 ISBN-13(EAN): 9780521420235
Издательство: Cambridge Academ
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Цена: 15522.00 р.
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Описание: The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. The lectures on which it is based were warmly received at the universities of Rome and Pavia, and at the Scuola Normale Superiore in Pisa. Here Professor Vishik has collated his lecture notes.

Asymptotic Behaviour of Solutions of Evolutionary Equations

Автор: M. I. Vishik
Название: Asymptotic Behaviour of Solutions of Evolutionary Equations
ISBN: 052142237X ISBN-13(EAN): 9780521422376
Издательство: Cambridge Academ
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Цена: 6811.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. The lectures on which it is based were warmly received at the universities of Rome and Pavia, and at the Scuola Normale Superiore in Pisa. Here Professor Vishik has collated his lecture notes.

Asymptotic Issues For Some Partial Differential Equations

Автор: Chipot Michel Marie
Название: Asymptotic Issues For Some Partial Differential Equations
ISBN: 1783268913 ISBN-13(EAN): 9781783268917
Издательство: World Scientific Publishing
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Цена: 10771.00 р.
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Описание:

"The monograph is well written and organized and recommended to graduate students and researchers in applied mathematics or engineering."

Zentralblatt MATH

Much progress has been made in recent years on the issue of asymptotic behavior of problems set in cylinders. This book goes one step further by presenting the latest accomplishments on asymptotic behavior in domains which become unbounded.

It also investigates new issues which have emerged including existence and uniqueness of solution in unbounded domains, anisotropic singular perturbations, periodic behavior forced by periodic data. These new advances are treated with original techniques developed to investigate the asymptotic behavior of various problems.

Theories investigated throughout the book can be applied to other problems related to partial differential equations, making it an important text for students and researchers within the discipline.

Asymptotic Issues for Some Partial Differential Equations is an updated account of ℓ Goes to Plus Infinity, published by BirkhAuser in 2002.

Asymptotic Theory Of Anisotropic Plates And Shells

Автор: Aghalovyan Lenser A
Название: Asymptotic Theory Of Anisotropic Plates And Shells
ISBN: 9814579025 ISBN-13(EAN): 9789814579025
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание:

A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a new type of boundary value problems, which is not governed by the classical Kirchhoff-Love assumptions. More general boundary value problems, in particular related to elastic foundations are also studied.

The general asymptotic approach is illustrated by a number of particular problems for elastic and thermoelastic beams and plates. For the latter, the validity of derived approximate theories is investigated by comparison with associated exact solution. The author also develops an asymptotic approach to dynamic analysis of layered media composed of thin layers motivated by modeling of engineering structures under seismic excitation.


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