Multiple Time Scale Dynamics

• Κύριος συγγραφέας: Kuehn, Christian (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Applied Mathematical Sciences, 191
• Θέματα: 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.

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...

Πίνακας περιεχομένων:

• 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.