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Nonlinear oscillations in physical systems /

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 oscill...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hayashi, Chūshirō, 1920-2010
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 1985.
Edición:[Revised and enlarged edition].
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Hayashi, Chūshirō,  |d 1920-2010. 
245 1 0 |a Nonlinear oscillations in physical systems /  |c Chihiro Hayashi. 
250 |a [Revised and enlarged edition]. 
264 1 |a Princeton, N.J. :  |b Princeton University Press,  |c 1985. 
300 |a 1 online resource (xii, 392 pages) :  |b illustrations 
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500 |a Originally published in 1953 under title: Forced oscillations in non-linear systems. 
500 |a Reprint. Originally published: New York : McGraw-Hill, ©1964. 
504 |a Includes bibliographical references (pages 378-383) and index. 
520 |a 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. 
505 0 |a 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. 
588 0 |a Print version record. 
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590 |a JSTOR  |b Books at JSTOR Evidence Based Acquisitions 
650 0 |a Nonlinear oscillations. 
650 0 |a Nonlinear oscillations  |x Electromechanical analogies. 
650 6 |a Oscillations non linéaires. 
650 6 |a Oscillations non linéaires  |x Analogies électromécaniques. 
650 7 |a SCIENCE  |x Mechanics  |x General.  |2 bisacsh 
650 7 |a SCIENCE  |x Mechanics  |x Solids.  |2 bisacsh 
650 7 |a SCIENCE  |x General.  |2 bisacsh 
650 7 |a Nonlinear oscillations  |2 fast 
650 7 |a Sistemas Dinamicos.  |2 larpcal 
650 7 |a Oscillations non linéaires.  |2 ram 
650 7 |a Théories non-linéaires.  |2 ram 
700 1 |a Hayashi, Chūshirō,  |d 1920-2010.  |t Forced oscillations in non-linear systems. 
776 0 8 |i Print version:  |a Hayashi, Chūshirō, 1920-2010.  |t Nonlinear oscillations in physical systems.  |b [Revised and enlarged edition]  |z 0691083835  |w (DLC) 85042664  |w (OCoLC)13154015 
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