Singularities and Oscillations, Jeffrey Rauch; Michael Taylor
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
Название: Shocks, singularities and oscillations in nonlinear optics and fluid mechanics ISBN: 3319520415 ISBN-13(EAN): 9783319520414 Издательство: Springer Рейтинг: Цена: 102480.00 T 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: Zohar Yosibash Название: Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation ISBN: 1489995102 ISBN-13(EAN): 9781489995100 Издательство: Springer Рейтинг: Цена: 144410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This important, pragmatic and timely book on the mathematical models of damage and flow tolerance is written by a recognized expert in the field. It will appeal to both mathematicians who are interested in the regularity of elliptic boundary value problems and to engineers interested in the study of fractions and fatigue of materials.
