Nonautonomous bifurcation theory : concepts and tools / Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen.
Anagnostopoulou, Vasso, author.; Pötzsche, Christian, author.; Rasmussen, Martin, 1975- author.
2023
QA380
Available Online

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Title Nonautonomous bifurcation theory : concepts and tools / Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen.
Author Anagnostopoulou, Vasso, author.
ISBN 9783031298424 (electronic bk.)
303129842X (electronic bk.)
9783031298417
3031298411
DOI https://doi.org/10.1007/978-3-031-29842-4
Published Cham : Springer, 2023.
Language English
Description 1 online resource (x, 156 pages) : illustrations.
Other Standard Identifiers 10.1007/978-3-031-29842-4 doi
Call Number QA380
Dewey Decimal Classification 515/.392
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed June 9, 2023).
Added Author Pötzsche, Christian, author.
Rasmussen, Martin, 1975- author.
Series Frontiers in applied dynamical systems ; v. 10.
Available in Other Form Print version: 9783031298417
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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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