Theory of Elastic Oscillations, Vladimir Fridman; Eugene Sviyazheninov
Автор: Elena V. Grigorieva; Sergey A. Kaschenko Название: Asymptotic Representation of Relaxation Oscillations in Lasers ISBN: 3319428594 ISBN-13(EAN): 9783319428598 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this book we analyze relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The models are based on rate equations taking into account periodic modulation of parameters, optoelectronic delayed feedback, mutual coupling between lasers, intermodal interaction and other factors.With the aim to study relaxation oscillations we present the special asymptotic method of integration for ordinary differential equations and differential-difference equations. As a result, they are reduced to discrete maps. Analyzing the maps we describe analytically such nonlinear phenomena in lasers as multistability of large-amplitude relaxation cycles, bifurcations of cycles, controlled switching of regimes, phase synchronization in an ensemble of coupled systems and others.The book can be fruitful for students and technicians in nonlinear laser dynamics and in differential equations.
Описание: Proceedings of the IUTAM Symposium held in Hanoi, Vietnam from 2-5 March 1999
Автор: Yuri A. Mitropolsky; Nguyen Van Dao Название: Applied Asymptotic Methods in Nonlinear Oscillations ISBN: 079234605X ISBN-13(EAN): 9780792346050 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: Fritz K. Kneub?hl Название: Oscillations and Waves ISBN: 3642082815 ISBN-13(EAN): 9783642082818 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In the course of over thirty years of research in various fields of physics and teaching experimental physics to undergraduate and graduate students of physics, mathematics, electrical engineering, chemistry and natural sciences I missed an introductory comprehensive book on the mathematics of linear and nonlinear oscillations and waves from the point of view of physicists and engineers. Oscillations and waves are the playground for all kinds of scientists in spite of the fact that they represent essentially mathematical concepts. In this field, however, the interests of experimentalists and engineers, on one side, and mathematicians, on the other side, usually differ. The latter are most interested and engaged in proofs of general fundamentallaws on the existence and behavior of the solutions of basic differential equations and on the convergence of their approximations, whereas the former need explicit analytical and numerical solutions or approximations, computer programs and graphic displays. In the past decades a gap opened between these two groups with the result that they have difficulties in communicating with each other. This comprehensive book represents a novel attempt to bridge this gap. This book is based on my lecture notes and its predecessor "Lineare und nichtlineare Schwingungen und Wellen" published by B. G. Teubner, Stuttgart, FRG, in 1995. The contents of the previous book have been considerably extended, revised and improved thanks to advice from colleagues and co-workers. Additions to be mentioned are the first c1assification of two-dimensional autonomous, i. e.
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.
Описание: An overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics covered include linear and nonlinear delay and integrodifferential equations, which have potential applications in biological and physical dynamic processes.
Описание: Contains 32 selected papers that cover: non-linear oscillations of beams, plates, vehicles, and other dynamic systems; analysis and control of non-linear systems; non-linear waves; dynamics of offshore structures; system identification; and, mathematical and numerical methods for investigating non-linear systems.
Автор: Alexander Fidlin Название: Nonlinear Oscillations in Mechanical Engineering ISBN: 3642066348 ISBN-13(EAN): 9783642066344 Издательство: Springer Рейтинг: Цена: 16977.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Since the nonlinearities are caused, first of all, by contacts between different mechanical parts, the main part of this book is devoted to oscillations in mechanical systems with discontinuities caused by dry friction and collisions.
Автор: Constantin Corduneanu Название: Almost Periodic Oscillations and Waves ISBN: 1441918906 ISBN-13(EAN): 9781441918901 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the latest in almost periodic oscillations and waves. It offers the foundations for the theory as well as the basic facts relating to almost periodicity through six unifying chapters that treat various classes of almost periodic functions.
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.
Описание: The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials.
Автор: Kang Feng; Zhong-Ci Shi Название: Mathematical Theory of Elastic Structures ISBN: 3662032880 ISBN-13(EAN): 9783662032886 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The finite element method, which was independently created and developed in different ways by sci- entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el- liptic equations.
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