Nonlinear Oscillations in Physical Systems /

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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
Autor principal: Hayashi, Chūshirō, 1920-2010
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 1985.
Edición:[Revised and enlarged edition].
Colección:Book collections on Project MUSE.
Temas:
Nonlinear oscillations.
Theories non-lineaires.
Oscillations non lineaires.
Sistemas Dinamicos.
SCIENCE > General.
SCIENCE > Mechanics > Solids.
SCIENCE > Mechanics > General.
Nonlinear oscillations > Electromechanical analogies.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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