Multiple time scale dynamics

Author(s)

    • Kuehn, Christian

Bibliographic Information

Multiple time scale dynamics

Christian Kuehn

(Applied mathematical sciences, v. 191)

Springer, c2015

Available at  / 21 libraries

Search this Book/Journal

Note

Includes bibliographical references (p. 705-798) and index

Description and Table of Contents

Description

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.

Table of Contents

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.

by "Nielsen BookData"

Related Books: 1-1 of 1

Details

  • NCID
    BB18239210
  • ISBN
    • 9783319123158
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham
  • Pages/Volumes
    xiii, 814 p.
  • Size
    24 cm
  • Parent Bibliography ID
Page Top