
Theory of Oscillators
Adiwes International Series in Physics
- 848 pages
- English
- PDF
- Available on iOS & Android
About this book
Theory of Oscillators presents the applications and exposition of the qualitative theory of differential equations. This book discusses the idea of a discontinuous transition in a dynamic process. Organized into 11 chapters, this book begins with an overview of the simplest type of oscillatory system in which the motion is described by a linear differential equation. This text then examines the character of the motion of the representative point along the hyperbola. Other chapters consider examples of two basic types of non-linear non-conservative systems, namely, dissipative systems and self-oscillating systems. This book discusses as well the discontinuous self-oscillations of a symmetrical multi-vibrator neglecting anode reaction. The final chapter deals with the immense practical importance of the stability of physical systems containing energy sources particularly control systems. This book is a valuable resource for electrical engineers, scientists, physicists, and mathematicians.
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Table of contents
- Front Cover
- Theory of Oscillators
- Copyright Page
- Table of Contents
- PREFACE TO THE SECOND RUSSIAN EDITION
- NOTE FROM THE ENGLISH EDITOR
- INTRODUCTION
- Chapter I. LINEAR SYSTEMS
- Chapter II. NON-LINEAR CONSERVATIVE SYSTEMS
- Chapter III. NON-CONSERVATIVE SYSTEMS
- Chapter IV. DYNAMIC SYSTEMS WITH A FIRST ORDER DIFFERENTIAL EQUATION
- Chapter V. DYNAMIC SYSTEMS OF THE SECOND ORDER
- Chapter VI. FUNDAMENTALS OF THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS OF THE SECOND ORDER
- Chapter VII. SYSTEMS WITH A CYLINDRICAL PHASE SURFACE
- Chapter VIII. THEMETHOD OF THE POINT TRANSFORMATIONS IN PIECE-WISE LINEAR SYSTEMS
- Chapter IX. NON-LINEAR SYSTEMS WITH APPROXIMATELY SINUSOIDAL OSCILLATIONS
- Chapter X. DISCONTINUOUS OSCILLATIONS
- Chapter XI. COMMENTS ON MORE RECENT WORKS
- APPENDIX: BASIC THEOREMS OF THE THEORY OF DIFFERENTIAL EQUATIONS
- REFERENCES
- INDEX