Regular and Chaotic Oscillations
By: by Polina S. Landa
Series: Foundations of Engineering Mechanics; Foundations of engineering mechanics
Publisher: Springer Berlin Heidelberg
Published: 2001
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 397
ISBN-13: 9783642074233; 9783540452522
Subjects: Mechanics; Engineering; Engineering mathematics; Differentiable dynamical systems; Applied Mechanics
Description: 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.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.
Table of contents: title: Introduction; title: The main analytical methods of studies of nonlinear oscillations in near-conservative systems; title: General properties of autonomous dynamical systems; title: Examples of natural oscillations in systems with one degree of freedom; title: Natural oscillations in systems with many degrees of freedom. Normal oscillations; title: Self-oscillatory systems with one degree of freedom; title: Self-oscillatory systems with one and a half degrees of freedom; title: Examples of self-oscillatory systems with two and more degrees of freedom; title: Synchronization and chaotization of self-oscillatory systems by an external harmonic force; title: Interaction of two self-oscillatory systems. Synchronization and chaotization of self-oscillations; title: Interaction of three and more self-oscillatory systems; title: Oscillations of nonlinear systems excited by external periodic forces; title: Parametrical excitation of oscillations; title: Changes in the dynamical behavior of nonlinear systems induced by high-frequency vibration or by noise.