Singularities and Groups in Bifurcation Theory: Volume II (Applied Mathematical Sciences, 69)

Golubitsky, Martin; Stewart, Ian; Schaeffer, David G.

ISBN 10: 0387966528 / ISBN 13: 9780387966526

Published by Springer, 1988

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Bibliographic Details

• Title: Singularities and Groups in Bifurcation Theory: Volume II (Applied Mathematical Sciences, 69)
• Publisher: Springer
• Publication Date: 1988
• Language: English
• ISBN 10: 0387966528
• ISBN 13: 9780387966526
• Binding: Hardcover
• Condition: New

About this title

Synopsis

Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.

From the Back Cover

Applied Mathematical Sciences #69.In this volume we focus on bifurcation problems with symmetry and show how group-theoretic techniques aid the understanding of transitions in symmetric systems.