Nonlinear System Analysis (Electrical Science)

Nonlinear System Analysis focuses on the study of systems whose behavior is governed by nonlinear differential equations. This book is composed of nine chapters that cover some problems that play a major role in engineering and physics. The opening chapter briefly introduces the difference between linear and nonlinear systems. Considerable chapters are devoted to engineering and physics related problems and their applications to particle accelerators, frequency measurements, and masers. Included in these chapters are important practical problems, such as synchronization, stability of systems with periodic coefficients, and effect of random disturbances. The remaining chapters examine random fluctuations of the motion and self-oscillators. This book is intended primarily for engineers and physicists. Content: Inside Front Cover , Page ii Front Matter , Page iii Copyright , Page iv Foreword , Pages v-vii Preface , Pages ix-xi CHAPTER 1 - Linearity and Nonlinearity , Pages 1-44 CHAPTER II - Self-Oscillatory Systems , Pages 45-107 CHAPTER III - Classification of Singularities , Pages 108-131 CHAPTER IV - Systems with Several Degrees of Freedom , Pages 132-176 CHAPTER V - Equivalent Linearization , Pages 177-206 CHAPTER VI - The Describing Function Method , Pages 207-270 CHAPTER VII - Nonlinear Equations with Periodic Coefficients , Pages 271-313 CHAPTER VIII - System Response to Random Inputs , Pages 314-338 CHAPTER IX - Random Fluctuations of Self-Oscillators , Pages 339-374 APPENDIX - Sinusoidal Modes of Electromagnetic Resonators , Pages 375-383 Author Index , Pages 385-387 Subject Index , Pages 388-392