Singularities and Groups in Bifurcation Theory: Volume 2 (Applied Mathematical Sciences) - Hardcover

Golubitsky, M.; Stewart, I.; Schaeffer, D.G.

Hardcover

ISBN 10: 3540966528 ISBN 13: 9783540966524

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2000

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. 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.

About this title

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.

About this edition

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 2000
• ISBN 10: 3540966528
• ISBN 13: 9783540966524
• Binding: Hardcover
• Number of pages: 549