عنوان

Multiple time scale dynamics /

(Number (ISBN

3319123157

(Number (ISBN

9783319123158

Number

dltt

Title Proper

Multiple time scale dynamics /

General Material Designation

[Book]

First Statement of Responsibility

Christian Kuehn

Specific Material Designation and Extent of Item

xiii, 814 pages :

Other Physical Details

illustrations ;

Dimensions

24 cm

Series Title

Applied mathematical sciences,

Volume Designation

v. 191

ISSN of Series

0066-5452 ;

Text of Note

Includes bibliographical references (pages 705-798) and index

Text of Note

Introduction.-{OCLCbr#A0}General Fenichel Theory.-{OCLCbr#A0}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

0

Text of 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.{OCLCbr#A0} 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{OCLCbr#A0} 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.{OCLCbr#A0}

International Standard Book Number

9783319123165

Differentiable dynamical systems

Global analysis (Mathematics)

Computational Mathematics and Numerical Analysis

Dynamical Systems and Ergodic Theory

Ordinary Differential Equations

Theoretical, Mathematical and Computational Physics

QA

Number

Edition

Class number

Book number

Kuehn, Christian

Date of Transaction

20170523103933.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y