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Nonlinear Oscillations and Waves in Dynamical Systems

  • P. S. Landa

Part of the Mathematics and Its Applications book series (MAIA, volume 360)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Introduction

    1. P. S. Landa
      Pages 1-6
  3. Basic Notions and Definitions

  4. Basic Dynamical Models of the Theory of Oscillations and Waves

    1. Front Matter
      Pages 33-33
    2. P. S. Landa
      Pages 35-57
  5. Natural (Free) Oscillations and Waves in Linear and Non-Linear System

  6. Forced Oscillations and Waves in Passive Systems

  7. Oscillations and Waves in Active Systems. Self-Oscillations and Auto-Waves

  8. Back Matter
    Pages 489-544

About this book

Introduction

A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.

Keywords

Degrees of freedom Oscillation Phase nonlinear dynamics stability wave

Authors and affiliations

  • P. S. Landa
    • 1
  1. 1.Department of PhysicsMoscow State UniversityMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8763-1
  • Copyright Information Springer Science+Business Media B.V. 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4670-3
  • Online ISBN 978-94-015-8763-1
  • Buy this book on publisher's site
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