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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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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Glebov, Sergey G.
Format: Électronique eBook
Langue:Inglés
Publié: Berlin/Boston, UNITED STATES : De Gruyter, 2017.
Collection:De Gruyter series in nonlinear analysis and applications ; v. 23/1.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • 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.