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Regular and Chaotic Oscillations

  • Polina S. Landa

Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Introduction

    1. Polina S. Landa
      Pages 1-7
  3. The main analytical methods of studies of nonlinear oscillations in near-conservative systems

  4. Oscillations in Autonomous Dynamical Systems

  5. Oscillations in Nonautonomous Systems

  6. Back Matter
    Pages 373-397

About this book

Introduction

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.

Keywords

Degrees of freedom Mechanics Mechanik Vibration dynamische Systeme engineering mechanics oscillation

Authors and affiliations

  • Polina S. Landa
    • 1
  1. 1.Dept. of PhysicsMoscow State UniversityMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-45252-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07423-3
  • Online ISBN 978-3-540-45252-2
  • Series Print ISSN 1612-1384
  • Series Online ISSN 1860-6237
  • Buy this book on publisher's site
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