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: Polina S. Landa Название: Regular and Chaotic Oscillations ISBN: 3642074235 ISBN-13(EAN): 9783642074233 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text maps out the modern theory of non-linear oscillations. Among the topics are: synchronization and chaotization of self-oscillatory systems and the influence of weak random vibration on modification of characteristics and behaviour of the non-linear systems.
Автор: Vladimir Fridman; Eugene Sviyazheninov Название: Theory of Elastic Oscillations ISBN: 9811047855 ISBN-13(EAN): 9789811047855 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems. It includes the so-called variational, projection and iterative gradient methods, which, when applied to nonlinear problems, use the procedure of linearization of the original non-linear equations.
These methods are not universal and require a different solution for each problem or class of problems.However, in many cases the combination of the methods shown in this book leads to more efficient algorithms for solving important applied problems.To record these algorithms in a unified form, the first part of the book and its appendix devote considerable attention to compiling the general operator equations, which include (as particular cases) equations for vibrations in rods, plates, shells and three-dimensional bodies. They are mainly considered to be periodic or nearly periodic oscillations, which correspond to stationary or nearly stationary regimes of machinery operation. In turn, the second part of the book presents a number of solutions for selected applications.
Автор: Mark E. Limes Название: 129 Xe Relaxation and Rabi Oscillations ISBN: 3319136313 ISBN-13(EAN): 9783319136318 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This thesis describes longitudinal nuclear relaxation measurements of solid 129Xe near 77 K with previously unattainable reproducibility, and demonstrates differences in relaxation, dependent upon the way in which the solid is condensed.
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.
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.
Автор: F.P. Pijpers; J?rgen Christensen-Dalsgaard; C.S. R Название: SCORe `96: Solar Convection and Oscillations and their Relationship ISBN: 9401061726 ISBN-13(EAN): 9789401061728 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains the reviews and poster papers presented at the workshop Solar Convection and Oscillations and their Relationship: SCORe `96, held in Arhus, Denmark, May 27 - 31, 1996.
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