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Oscillations and Resonances.

This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of charac...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Glebov, Sergey G.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin/Boston, UNITED STATES : De Gruyter, 2017.
Colección:De Gruyter series in nonlinear analysis and applications ; v. 23/1.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Preface
  • Contents
  • Introduction
  • 1 Asymptotic expansions and series
  • 2 Asymptotic methods for solving nonlinear equations
  • 3 Perturbation of nonlinear oscillations
  • 4 Nonlinear oscillator in potential well
  • 5 Autoresonances in nonlinear systems
  • 6 Asymptotics for loss of stability
  • 7 Systems of coupled oscillators
  • Bibliography
  • Index.