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作者 Landa, Polina S
書名 Regular and Chaotic Oscillations [electronic resource] / by Polina S. Landa
出版項 Berlin, Heidelberg : Springer Berlin Heidelberg, 2001
國際標準書號 9783540452522 (electronic bk.)
3540452524 (electronic bk.)
book jacket
說明 1 online resource (xii, 397 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Foundations of Engineering Mechanics, 1612-1384
Foundations of engineering mechanics
附註 Introduction -- The main analytical methods of studies of nonlinear oscillations in near-conservative systems -- General properties of autonomous dynamical systems -- Examples of natural oscillations in systems with one degree of freedom -- Natural oscillations in systems with many degrees of freedom. Normal oscillations -- Self-oscillatory systems with one degree of freedom -- Self-oscillatory systems with one and a half degrees of freedom -- Examples of self-oscillatory systems with two and more degrees of freedom -- Synchronization and chaotization of self-oscillatory systems by an external harmonic force -- Interaction of two self-oscillatory systems. Synchronization and chaotization of self-oscillations -- Interaction of three and more self-oscillatory systems -- Oscillations of nonlinear systems excited by external periodic forces -- Parametrical excitation of oscillations -- Changes in the dynamical behavior of nonlinear systems induced by high-frequency vibration or by noise
In the present book the modern theory of non-linear oscilla- tions both regular and chaotic, is set out, primarily, as applied to mechanical problems. The material is presented in a non-traditional manner with emphasizing of the new results of the theory otained partially by the author, who is one of the leading experts in the area. Among the up-to-date topics are synchronization and chaotization of self-oscillatory sy- stems, the influence of weak random vibration on modificati- on of characteristics and behavior of the non-linear systems etc. One of the purposes of the book is to convince the rea- ders of the necessity of a thorough study of this theory and to show that it can be very useful in engineering investiga- tions. The primary readers for this book are researchers working with different oscillatory processes, and both un- der-graduate and post-graduate students interested in a deep study of the general laws and applications of the theory of nonlinear oscillations. The instructors can find here new materials for lecturess and optinal courses
鏈接 Print version: 9783642074233
主題 Engineering
Differentiable dynamical systems
Mechanics
Engineering mathematics
Mechanics, Applied
Electronic books
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