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Multiple Time Scale Dynamics
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Catalogue Information
Field name
Details
Dewey Class
515.39
515.48
Title
Multiple Time Scale Dynamics ([EBook]) / by Christian Kuehn.
Author
Kuehn, Christian. , 1981-
Other name(s)
SpringerLink (Online service)
Publication
Cham : Springer International Publishing , 2015.
Physical Details
XIII, 814 pages: 196 illus., 48 illus. in color. : online resource.
Series
Applied mathematical sciences
0066-5452 ; ; 191
ISBN
9783319123165
Summary Note
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 new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective. .:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-319-12316-5
Links to Related Works
Subject References:
Computer mathematics
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Differentiable dynamical systems
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Differential Equations
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Dynamical systems and ergodic theory
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Dynamics
.
Ergodic theory
.
Ordinary differential equations
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Probabilities
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Authors:
Kuehn, Christian. 1981-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Applied mathematical sciences
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Classification:
515.39
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515.48
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515.39 (DDC 23)
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