Oscillations and Waves, Fritz K. Kneub?hl

Автор: Vladimir Fridman; Eugene Sviyazheninov
Название: Theory of Elastic Oscillations
ISBN: 9811047855 ISBN-13(EAN): 9789811047855
Издательство: Springer
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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: Polina S. Landa
Название: Regular and Chaotic Oscillations
ISBN: 3642074235 ISBN-13(EAN): 9783642074233
Издательство: Springer
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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: K. Gopalsamy
Название: Stability and Oscillations in Delay Differential Equations of Population Dynamics
ISBN: 0792315944 ISBN-13(EAN): 9780792315940
Издательство: Springer
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Цена: 18167.00 р.
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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.