Nonlinear Oscillations in Physical Systems / / Chihiro Hayashi.
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 ot...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©1986 |
| Year of Publication: | 2014 |
| Edition: | Course Book |
| Language: | English |
| Series: | Princeton Legacy Library ;
432 |
| Online Access: | |
| Physical Description: | 1 online resource (406 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- Introduction
- Part I. Principal Methods of Nonlinear Analysis
- Chapter 1. Analytical Methods
- Chapter 2 Topological Methods and Graphical Solutions
- Chapter 3. Stability of Nonlinear Systems
- Part II. Forced Oscillations in Steady States
- Chapter 4. Stability of Periodic Oscillations in Second-order Systems
- Chapter 5. Harmonic Oscillations
- Chapter 6. Higher-harmonic Oscillations
- Chapter 7. Subharmonic Oscillations
- Part IV. Self-oscillatory Systems with External Force
- Chapter 12. Entrainment of Frequency
- Chapter 13. Almost Periodic Oscillations
- Appendix I: Expansions of the Mathieu Functions
- Appendix II: Unstable Solutions of Kill's Equation
- Appendix III: Unstable Solutions fox* the Extended Form of Kill's Equation
- Appendix IV: Stability Criterion Obtained by Using the Perturbation Method
- Appendix V: Remarks Concerning Integral Curves and Singular Points
- Appendix VI: Electronic Switch
- Problems
- Bibliography
- Index