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Singularities and Groups in Bifurcation Theory : Volume II /

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 trans...

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Bibliographic Details
Main Author: Golubitsky, Martin
Corporate Author: SpringerLink (Online service)
Other Authors: Stewart, Ian, Schaeffer, David G.
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1988.
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; 69.
Subjects:
Mathematics.
Group theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Contents of Vol. I
  • Introduction
  • Group Theoretic Preliminaries
  • Symmetry-Breaking in Steady-State Bifurcation
  • Case Study 4: The Planar Bénard Problem
  • Equivariant Normal Forms
  • Equivariant Unfolding Theory
  • Case Study 5: The Traction Problem for Mooney-Rivlin Material
  • Symmetry-Breaking in Hopf Bifurcation
  • Hopf Bifurcation with 0(2) Symmetry
  • Further Examples of Hopf Bifurcation with Symmetry
  • Mode Interactions
  • Mode Interactions with 0(2) Symmetry
  • Case Study 6: The Taylor-Couette System
  • Bibliography
  • Index.