Nonautonomous bifurcation theory : concepts and tools

著者

書誌事項

Nonautonomous bifurcation theory : concepts and tools

Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen

(Frontiers in applied dynamical systems : reviews and tutorials, 10)

Springer, c2023

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注記

Includes bibliographical references (p.139-151) and index

内容説明・目次

内容説明

Bifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it is not clear what a bifurcation of a nonautonomous dynamical system actually is, and so far, various different approaches to describe qualitative changes have been suggested in the literature. The aim of this book is to provide a concise survey of the area and equip the reader with suitable tools to tackle nonautonomous problems. A review, discussion and comparison of several concepts of bifurcation is provided, and these are formulated in a unified notation and illustrated by means of comprehensible examples. Additionally, certain relevant tools needed in a corresponding analysis are presented.

目次

Introduction.- Part I Nonautonomous differential equations - Spectral theory, stability and continuation.- Nonautonomous bifurcation.- Reduction techniques.- Part II Nonautonomous difference equations - Spectral theory, stability and continuation.- Nonautonomous bifurcation.- Reduction techniques.

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詳細情報

  • NII書誌ID(NCID)
    BD0260774X
  • ISBN
    • 9783031298417
  • 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
    x, 156 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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