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Multiple time scale dynamics

Kuehn, Christian.

Multiple time scale dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Multiple time scale dynamicsby Christian Kuehn.
Author:	Kuehn, Christian.
Published:	Cham :Springer International Publishing :2015.
Description:	xiii, 814 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differentiable dynamical systems.
Online resource:	http://dx.doi.org/10.1007/978-3-319-12316-5
ISBN:	9783319123165 (electronic bk.)

Multiple time scale dynamics
Kuehn, Christian.

Multiple time scale dynamics[electronic resource] /by Christian Kuehn. - Cham :Springer International Publishing :2015. - xiii, 814 p. :ill. (some col.), digital ;24 cm. - Applied mathematical sciences,v.1910066-5452 ;. - Applied mathematical sciences ;v.176..

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.

ISBN: 9783319123165 (electronic bk.)

Standard No.: 10.1007/978-3-319-12316-5doiSubjects--Topical Terms:

183764
Differentiable dynamical systems.

LC Class. No.: QA614.8

Dewey Class. No.: 515.39

Multiple time scale dynamics
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245 1 0 $a Multiple time scale dynamics $h [electronic resource] / $c by Christian Kuehn.
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300 $a xiii, 814 p. : $b ill. (some col.), digital ; $c 24 cm.
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505 0 $a 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.
520 $a 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.
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650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
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