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Frontiers in Applied Dynamical Systems: Reviews and Tutorials
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Geometric Singular Perturbation Theory Beyond the Standard Form

Authors: Wechselberger, Martin

  • First of its kind to discuss geometric singular perturbation theory in a coordinate-independent setting
  • Serves as an accessible entry point into the study of multiple time-scale dynamical systems
  • Covers motivating examples from biochemistry, electronic circuits and mechanic oscillators and advection-reaction-diffusion problems
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書籍の購入

イーブック ¥6,738
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • イーブック版は、まもなく発売予定です。
  • 予定日: April 17, 2020
  • ISBN 978-3-030-36399-4
  • ウォーターマーク付、 DRMフリー
  • ファイル形式:
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ソフトカバー ¥8,423
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: April 17, 2020
  • ISBN 978-3-030-36398-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
この書籍について

This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT).

It is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form

The contents cover a general framework for this GSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models. It contains many illustrations and key pointers to the existing literature. The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view. 

Martin Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney, Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales.


書籍の購入

イーブック ¥6,738
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • イーブック版は、まもなく発売予定です。
  • 予定日: April 17, 2020
  • ISBN 978-3-030-36399-4
  • ウォーターマーク付、 DRMフリー
  • ファイル形式:
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ソフトカバー ¥8,423
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: April 17, 2020
  • ISBN 978-3-030-36398-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
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書誌情報

Bibliographic Information
Book Title
Geometric Singular Perturbation Theory Beyond the Standard Form
Authors
Series Title
Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Series Volume
6
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-36399-4
DOI
10.1007/978-3-030-36399-4
ソフトカバー ISBN
978-3-030-36398-7
Series ISSN
2364-4532
Edition Number
1
Number of Pages
X, 140
Number of Illustrations
2 b/w illustrations, 40 illustrations in colour
Topics