1.

Record Nr.

UNINA9910299778703321

Autore

Kuehn Christian

Titolo

Multiple Time Scale Dynamics / / by Christian Kuehn

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015

ISBN

3-319-12316-5

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (XIII, 814 p. 196 illus., 48 illus. in color.)

Collana

Applied Mathematical Sciences, , 2196-968X ; ; 191

Disciplina

515.352

Soggetti

Dynamics

Mathematical physics

Mathematics - Data processing

Differential equations

Probabilities

Dynamical Systems

Theoretical, Mathematical and Computational Physics

Computational Mathematics and Numerical Analysis

Differential Equations

Probability Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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. .