Nonlinear Oscillations in Physical Systems ：Nonlinear Oscillations in Physical Systems ( Princeton Legacy Library )

Publication subTitle ：Nonlinear Oscillations in Physical Systems

Publication series ：Princeton Legacy Library

Author： Hayashi Chihiro;;;  

Publisher： Princeton University Press‎

Publication year： 2014

E-ISBN: 9781400852871

P-ISBN(Paperback): 9780691083834

Subject： O322 非线性振动

Keyword： 自然科学总论

Language： ENG

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Description

This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields.

Originally published in 1986.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Chapter

Cover

Contents

Preface

Introduction

Part I. Principal Methods of Nonlinear Analysis

Part II. Forced Oscillations in Steady States

Part III. Forced Oscillations in Transient States

Part IV. Self-Oscillatory Systems with External Force

Appendix I. Expansions of the Mathieu Functions

Appendix II. Unstable Solutions of Hill's Equation

Appendix III. Unstable Solutions for the Extended Form of Hill's Equation

Appendix IV. Stability Criterion Obtained by Using the Perturbation Method

Appendix V. Remarks Concerning Integral Curves and Singular Points

Appendix VI. Electronic Synchronous Switch

Problems

Bibliography

Index

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