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
Описание: The investigation of wave packets and their bi- furcations is very interesting, and useful theoretically and in practice, not only in geophysical fluid dynamics, which is the field to which the theory is being applied here, but also in other fields in mathematics and the natural sciences.
Автор: P.G. Bakker Название: Bifurcations in Flow Patterns ISBN: 940105553X ISBN-13(EAN): 9789401055536 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers insight into the understanding of the nature of the geophysical fluids, especially their structures and structural changes. This book is suitable for graduate students and researchers in fields such as applied mathematics, geophysical fluid dynamics, atmospheric sciences and physical oceanography.
Автор: George Exadaktylos; Ioannis G. Vardoulakis Название: Bifurcations, Instabilities, Degradation in Geomechanics ISBN: 3642080448 ISBN-13(EAN): 9783642080449 Издательство: Springer Рейтинг: Цена: 30606.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is an up-to-date review of developments in the field of bifurcations and instabilities in geomechanics from some of the world`s leading experts. Leading international researchers and practitioners of the topics debate the developments and applications which have occurred over the last few decades.
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