Multiple time scale dynamics

著者
    • Kuehn, Christian
書誌事項

Multiple time scale dynamics

Christian Kuehn

(Applied mathematical sciences, v. 191)

Springer, c2015

  • : softcover

この図書・雑誌をさがす
注記

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

Description based on softcover reprint of the hardcover 1st edition 2015

内容説明・目次

内容説明

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.

目次

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.

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詳細情報
  • NII書誌ID(NCID)
    BC15512911
  • ISBN
    • 9783319344171
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    xiii, 814 p.
  • 大きさ
    24 cm
  • 親書誌ID
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