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＜E-Book＞
Multiple Time Scale Dynamics / by Christian Kuehn
(Applied Mathematical Sciences. ISSN:2196968X ; 191)

Edition	1st ed. 2015.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2015
Size	XIII, 814 p. 196 illus., 48 illus. in color : online resource
Authors	*Kuehn, Christian author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Mathematical physics LCSH:Mathematics—Data processing LCSH:Differential equations LCSH:Probabilities FREE:Dynamical Systems FREE:Theoretical, Mathematical and Computational Physics FREE:Computational Mathematics and Numerical Analysis FREE:Differential Equations FREE:Probability Theory
Notes	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 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.  HTTP:URL=https://doi.org/10.1007/978-3-319-12316-5

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