Multiple Time Scale Dynamics

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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Bibliographic Details
Main Author: Kuehn, Christian (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Series:Applied Mathematical Sciences, 191
Subjects:
Mathematics.
Dynamics.
Ergodic theory.
Differential equations.
Computer mathematics.
Probabilities.
Physics.
Dynamical Systems and Ergodic Theory.
Theoretical, Mathematical and Computational Physics.
Computational Mathematics and Numerical Analysis.
Ordinary Differential Equations.
Probability Theory and Stochastic Processes.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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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