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
Автор: Arkadii Kh. Gelig; Alexander N. Churilov Название: Stability and Oscillations of Nonlinear Pulse-Modulated Systems ISBN: 1461272696 ISBN-13(EAN): 9781461272694 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Jean-Marc Ginoux Название: History of Nonlinear Oscillations Theory in France (1880-1940) ISBN: 3319552384 ISBN-13(EAN): 9783319552385 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Part I. From sustained oscillations to relaxation oscillationsChapter 1. From the series-dynamo machine to the singing arcChapter 2. The Great War and the first triode designsChapter 3. Van der Pol's prototype equation Part II. From relaxation oscillations to self-oscillationsChapter 4. Van der Pol's lecturesChapter 5. Andronov's notesChapter 6. Response to Van der Pol's and Andronov's work in FranceChapter 7. The first International Conference on Nonlinear processes: Paris 1933Chapter 8. The paradigm of relaxation oscillations in France Part III. From self-oscillations to quasi-periodic oscillationsChapter 9. The Poincarй-Lindstedt methodChapter 10. Van der Pol's methodChapter 11. The Krylov-Bogolyubov methodChapter 12. The Mandelstam-Papeleksi SchoolChapter 13. From quasi-periodic functions to recurrent motionsChapter 14. Hadamard and his seminary.
Автор: Yuri A. Mitropolsky; Nguyen Van Dao Название: Applied Asymptotic Methods in Nonlinear Oscillations ISBN: 079234605X ISBN-13(EAN): 9780792346050 Издательство: Springer Рейтинг: Цена: 30606.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations.
Автор: Anatolii M. Samoilenko; R. Petryshyn Название: Multifrequency Oscillations of Nonlinear Systems ISBN: 9048165741 ISBN-13(EAN): 9789048165742 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: P.S Landa Название: Nonlinear Oscillations and Waves in Dynamical Systems ISBN: 0792339312 ISBN-13(EAN): 9780792339311 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Hayashi Chihiro Название: Nonlinear Oscillations in Physical Systems ISBN: 0691611203 ISBN-13(EAN): 9780691611204 Издательство: Wiley Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
Автор: P.S Landa Название: Nonlinear Oscillations and Waves in Dynamical Systems ISBN: 9048146704 ISBN-13(EAN): 9789048146703 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Yuri A. Mitropolsky; Nguyen Van Dao Название: Applied Asymptotic Methods in Nonlinear Oscillations ISBN: 9048148650 ISBN-13(EAN): 9789048148653 Издательство: Springer Рейтинг: Цена: 30606.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations.
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