The Resource Nonlinear oscillations in physical systems, Chihiro Hayashi

Nonlinear oscillations in physical systems, Chihiro Hayashi

Label
Nonlinear oscillations in physical systems
Title
Nonlinear oscillations in physical systems
Statement of responsibility
Chihiro Hayashi
Creator
Contributor
Subject
Language
eng
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
Cataloging source
VYF
http://library.link/vocab/creatorDate
1920-2010
http://library.link/vocab/creatorName
Hayashi, Chūshirō
Illustrations
illustrations
Index
index present
LC call number
QA867.5
LC item number
.H39 1985
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1920-2010
http://library.link/vocab/relatedWorkOrContributorName
Hayashi, Chūshirō
http://library.link/vocab/subjectName
  • Nonlinear oscillations
  • Nonlinear oscillations
  • Oscillation non linéaire
  • Equation Liénard
  • Théorème Ljapunov
  • Equation Hill
  • Equation Mathieu
  • Equation Van der Pol
  • Circuit électrique
  • Table oscillation
  • Oscillation forcée
  • Oscillations non linéaires
  • Sistemas Dinamicos
  • Oscillations non linéaires
  • Théories non linéaires
Label
Nonlinear oscillations in physical systems, Chihiro Hayashi
Instantiates
Publication
Note
  • First published in 1953 under title: Forced oscillations in non-linear systems
  • Reprint. Originally published: New York : McGraw-Hill, c1964
  • Includes index
Bibliography note
Bibliography: p. [378]-383
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
24 cm
Edition
Rev. and enl. ed..
Extent
xii, 392 pages
Isbn
9780691083834
Isbn Type
(pbk.)
Lccn
85042664
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)13154015
  • (OCoLC)ocm13154015
Label
Nonlinear oscillations in physical systems, Chihiro Hayashi
Publication
Note
  • First published in 1953 under title: Forced oscillations in non-linear systems
  • Reprint. Originally published: New York : McGraw-Hill, c1964
  • Includes index
Bibliography note
Bibliography: p. [378]-383
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
24 cm
Edition
Rev. and enl. ed..
Extent
xii, 392 pages
Isbn
9780691083834
Isbn Type
(pbk.)
Lccn
85042664
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)13154015
  • (OCoLC)ocm13154015

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