Nonautonomous Bifurcation Theory : Concepts and Tools / by Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen.

Format:

Book

Author/Creator:

Anagnostopoulou, Vasso.

Contributor:

Pötzsche, Christian.

Rasmussen, Martin.

Series:

Frontiers in Applied Dynamical Systems: Reviews and Tutorials, 2364-4931

Language:

English

Subjects (All):

Dynamics.

Mathematics.

Dynamical Systems.

Local Subjects:

Dynamical Systems.

Mathematics.

Physical Description:

1 online resource (159 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2023.

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.

Contents:

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

Reduction techniques.

Other Format:

Print version: Anagnostopoulou, Vasso Nonautonomous Bifurcation Theory

ISBN:

3-031-29842-X

OCLC:

1381094211