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Nonautonomous Bifurcation Theory Concepts and Tools

SKU: 9783031298424

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Full Title

Nonautonomous Bifurcation Theory Concepts and Tools

Author(s)

Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen

Edition
ISBN

9783031298424, 9783031298417

Publisher

Springer

Format

PDF and EPUB

Description

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.