Shocks, singularities and oscillations in nonlinear optics and fluid mechanics,
Автор: Guckenheimer John, Holmes Philip Название: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields ISBN: 0387908196 ISBN-13(EAN): 9780387908199 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Jeffrey Rauch; Michael Taylor Название: Singularities and Oscillations ISBN: 0387982000 ISBN-13(EAN): 9780387982007 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Russel Caflisch; George C. Papanicolaou Название: Singularities in Fluids, Plasmas and Optics ISBN: 9401048940 ISBN-13(EAN): 9789401048941 Издательство: Springer Рейтинг: Цена: 186330.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Proceedings of the NATO Advanced Research Workshop, Heraklion, Greece, July 6-10, 1992
Автор: Yuri A. Mitropolsky; Nguyen Van Dao Название: Applied Asymptotic Methods in Nonlinear Oscillations ISBN: 9048148650 ISBN-13(EAN): 9789048148653 Издательство: Springer Рейтинг: Цена: 204040.00 T 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: Hayashi Chihiro Название: Nonlinear Oscillations in Physical Systems ISBN: 0691611203 ISBN-13(EAN): 9780691611204 Издательство: Wiley Рейтинг: Цена: 79200.00 T 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: 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 Рейтинг: Цена: 100320.00 T 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: Guckenheimer, John Holmes, Philip Название: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields ISBN: 1461270200 ISBN-13(EAN): 9781461270201 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: P.S Landa Название: Nonlinear Oscillations and Waves in Dynamical Systems ISBN: 0792339312 ISBN-13(EAN): 9780792339311 Издательство: Springer Рейтинг: Цена: 121110.00 T 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.