Multiple Time Scale Dynamics

This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form.  The broad range of topics included makes it accessible for students and researchers...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kuehn, Christian (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Applied Mathematical Sciences, 191
Temas:
Dynamical systems.
Mathematical physics.
Mathematics > Data processing.
Differential equations.
Probabilities.
Dynamical Systems.
Theoretical, Mathematical and Computational Physics.
Computational Mathematics and Numerical Analysis.
Differential Equations.
Probability Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction.- General Fenichel Theory.- Geometric Singular Perturbation Theory
  • Normal Forms
  • Direct Asymptotic Methods
  • Tracking Invariant Manifolds
  • The Blow-Up Method
  • Singularities and Canards
  • Advanced Asymptotic Methods
  • Numerical Methods
  • Computing Manifolds
  • Scaling and Delay
  • Oscillations
  • Chaos in Fast-Slow Systems
  • Stochastic Systems
  • Topological Methods
  • Spatial Dynamics
  • Infinite Dimensions
  • Other Topics
  • Applications.

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