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Nonlinear Equations with Small Parameter: Volume I: Oscillations and resonances, Sergey G. Glebov, Oleg M. Kiselev, Nikolai N. Tark


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Автор: Sergey G. Glebov, Oleg M. Kiselev, Nikolai N. Tark
Название:  Nonlinear Equations with Small Parameter: Volume I: Oscillations and resonances
ISBN: 9783110335545
Издательство: Walter de Gruyter
Классификация:


ISBN-10: 3110335549
Обложка/Формат: Hardback
Страницы: 357
Вес: 0.75 кг.
Дата издания: 10.04.2017
Серия: Mathematics
Язык: English
Размер: 244 x 173 x 23
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Differential calculus & equations,Nonlinear science, MATHEMATICS / Differential Equations / General,MATHEMATICS / Mathematical Analysis
Основная тема: MATHEMATICS / Differential Equations / General,MATHEMATICS / Mathematical Analysis
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators


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

Plasmon Resonances In Nanoparticles

Автор: Mayergoyz Isaak D
Название: Plasmon Resonances In Nanoparticles
ISBN: 9814350656 ISBN-13(EAN): 9789814350655
Издательство: World Scientific Publishing
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Цена: 17107.00 р.
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Описание: Provides an introduction to plasmon resonances in nanoparticles and their novel applications. This title treats plasmon resonances as an eigenvalue problem for specific boundary integral equations, and studies general physical properties of plasmon spectrum.

Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, And Averaging Methods

Автор: Mickens Ronald E
Название: Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, And Averaging Methods
ISBN: 981429165X ISBN-13(EAN): 9789814291651
Издательство: World Scientific Publishing
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Цена: 15048.00 р.
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Описание: Provides a presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of truly nonlinear (TNL) oscillator equations. This volume gives a general overview of the author`s work on harmonic balance, iteration and combined linearization-averaging methods.

Nonlinear Oscillations in Physical Systems

Автор: Hayashi Chihiro
Название: Nonlinear Oscillations in Physical Systems
ISBN: 0691611203 ISBN-13(EAN): 9780691611204
Издательство: Wiley
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Цена: 11880.00 р.
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Описание: This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. Originally published in 1986. The Pr


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