Elements of applied bifurcation theory.
type: Item
instance of: scholarly article
title: Elements of applied bifurcation theory.
zbMATH Open document ID: 0914.58025
author: Yu. A. Kuznetsov
published in: Applied Mathematical Sciences
publication date: 1998-10-28T00:00:00Z
review text: This is the second edition of a textbook the contents of which are described in the review of the first edition (Zbl 0829.58029), or more exhaustively in the preface of the book itself. After two chapters on fundamental notions, seven chapters deal with bifurcations in increasingly more complicated situations: One- and two-parameter bifurcations of stationary points in finite-dimensional continuous and discrete dynamical systems as well as bifurcations of homoclinic and heteroclinic orbits. The latter material has been rewritten for this edition. A final chapter on numerical analysis also has been changed to include more refined methods as well as an updated software review. Other changes aim at making the work more comprehensive and complete. Every chapter is followed by exercises and bibliographical notes. The combination of theoretical results and applications to concrete examples makes this book a most expansive introduction to the subject.
reviewed by: Dieter Erle
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 37-01
Mathematics Subject Classification ID: 37G05
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 1216131
zbMATH Keywords: finite-dimensional system
zbMATH Keywords: equilibrium
zbMATH Keywords: generic bifurcation
zbMATH Keywords: bifurcation analysis
zbMATH Keywords: normal form
zbMATH Keywords: numerical methods
MaRDI profile type: Publication
full work available at URL: b98848
OpenAlex ID: W4206651839
DOI: 10.1007/B98848
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description: scientific article; zbMATH DE number 1216131