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Singular perturbations : introduction to system order reduction methods with applications /

These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the mo...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Shchepakina, Elena (Auteur), Sobolev, Vladimir (Auteur), Mortell, Michael P. (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Cham [Switzerland] : Springer, [2014]
Collection:Lecture notes in mathematics (Springer-Verlag) ; 2114.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • Introduction
  • Slow Integral Manifolds
  • The Book of Numbers
  • Representations of Slow Integral Manifolds
  • Singular Singularly Perturbed Systems
  • Reduction Methods for Chemical Systems
  • Specific Cases
  • Canards and Black Swans
  • Appendix: Proofs.