Nonlinear Oscillations in Physical Systems / / Chihiro Hayashi.

• Superior document: Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999
• VerfasserIn: Hayashi, Chihiro,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2014]; ©1986
• Year of Publication: 2014
• Edition: Course Book
• Language: English
• Series: Princeton Legacy Library ; 432
• Physical Description: 1 online resource (406 p.)

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.

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