Nonlinear oscillations in physical systems /

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Bibliographic Details
Author / Creator:	Hayashi, Chūshirō, 1920-2010.
Edition:	[Revised and enlarged edition].
Imprint:	Princeton, N.J. : Princeton University Press, 1985.
Description:	1 online resource (xii, 392 pages) : illustrations
Language:	English
Subject:	Nonlinear oscillations. Nonlinear oscillations -- Electromechanical analogies. Nonlinear oscillations. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11237249

Hidden Bibliographic Details
Other uniform titles:	Hayashi, Chūshirō, 1920-2010. Forced oscillations in non-linear systems.
ISBN:	9781400852871 1400852870 0691083835 9780691083834
Notes:	Originally published in 1953 under title: Forced oscillations in non-linear systems. Reprint. Originally published: New York : McGraw-Hill, ©1964. Includes bibliographical references (pages 378-383) and index. Print version record.
Summary:	Many of today's most exciting questions in the physical and life sciences concern the behavior of nonlinear systems, especially the onset of chaotic behavior under deterministic conditions. Available for the first time in paperback, this book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, this book remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. All problems in mechanics are basically nonlinear from the outset, and the linearizations commonly practiced are approximating devices. Focusing attention on those features of problems where nonlinearity results in distinctive new phenomena, the author stresses the relationship between analysis and experiment.
Other form:	Print version: Hayashi, Chūshirō, 1920-2010. Nonlinear oscillations in physical systems. [Revised and enlarged edition] 0691083835

Table of Contents:

pt. I. Principal methods of nonlinear analysis. Analytical methods
Topological methods and graphical solutions
Stability of nonlinear systems
pt. II. Forced oscillations in steady states. Stability of periodic oscillations in second-order systems
Harmonic oscillations
Higher-harmonic oscillations
Subharmonic oscillations
pt. III. Forced oscillations in transient states. Harmonic oscillations
Subharmonic oscillations
Initial conditions leading to different types of periodic oscillations
Almost periodic oscillations
pt. IV. Self-oscillatory systems with external force. Entrainment of frequency
Almost periodic oscillations
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.

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