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: Igor A. Karnovsky; Evgeniy Lebed Название: Theory of Vibration Protection ISBN: 331928018X ISBN-13(EAN): 9783319280189 Издательство: Springer Рейтинг: Цена: 23508.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mechanical Exposure and Vibration Protection Methods.- Part I Passive Vibration Protection.- Vibration Isolation of Systems with One Degree of Freedom.- Mechanical Two-Port Network for System with Lumped Parameters.- Mechanical Two and Multi-Portal Networks of Mixed Systems.- Arbitrary Excitation.- Vibration Damping.- Vibration Suppression of the Structures with Lumped Parameters.- Vibration Suppression of the Structures with Distributed Parameters.- Invariant (Parametric) Vibration Protection of Linear Systems.- Nonlinear Theory of Vibration Protection Systems.- Part II Active Vibration Protection.- Pontryagin's Maximal Principle.- Krein's Moment Method.- Structural Theory of Vibration Protection Systems.- Part III Shock and Transient Vibration.- Transient Vibration.- Shock and Spectral Theory.- Stability of Vibration Protection Systems.- Vibration Protection of Human-Operator.
Автор: Lakshmanan, Muthusamy, Rajaseekar, Shanmuganathan Название: Nonlinear Dynamics Integrability, Chaos and Patterns ISBN: 3642628729 ISBN-13(EAN): 9783642628726 Издательство: Springer Рейтинг: Цена: 25149.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present in-depth mathematical formulations involved in the analysis of various nonlinear systems.
Автор: David Wagg; Simon Neild Название: Nonlinear Vibration with Control ISBN: 3319106430 ISBN-13(EAN): 9783319106434 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a comprehensive discussion of nonlinear multi-modal structural vibration problems, and shows how vibration suppression can be applied to such systems by considering a sample set of relevant control techniques.
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