Автор: Kuznetsov Yuri A. Название: Elements of Applied Bifurcation Theory ISBN: 0387219064 ISBN-13(EAN): 9780387219066 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Explains the basic phenomena of bifurcation theory. This book provides a student or researcher with the basis in nonlinear dynamical systems and their bifurcations, giving them the necessary understanding of the approaches, methods, results and terminology used in the modern applied mathematics literature.
Автор: Dyskin Название: Bifurcation and Localisation Theory in Geomechanics ISBN: 9026518234 ISBN-13(EAN): 9789026518232 Издательство: Taylor&Francis Рейтинг: Цена: 224570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This work contains proceedings of a workshop on Bifurcation and Localisation Theory in Geomechanics, held in Perth, Australia in 1999
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: Hale Название: Dynamics and Bifurcations ISBN: 0387971416 ISBN-13(EAN): 9780387971414 Издательство: Springer Рейтинг: Цена: 75420.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial
mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications
with perhaps a more mature look. Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as
textbooks.
The authors have filled this void with the present book.
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