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Singularities and Groups in Bifurcation Theory

Singularities and Groups in Bifurcation Theory

Volume II

by David G. SchaefferIan Stewart and Martin Golubitsky
Hardback
Publication Date: 24/06/1988

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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.
ISBN:
9780387966526
9780387966526
Category:
Groups & group theory
Format:
Hardback
Publication Date:
24-06-1988
Language:
English
Publisher:
Springer-Verlag New York Inc.
Country of origin:
United States
Pages:
536
Dimensions (mm):
234x156x30mm
Weight:
2.1kg
Ian Stewart

Ian Stewart is Professor Emeritus of Mathematics at the University of Warwick and the author of the bestseller Professor Stewart's Cabinet of Mathematics Curiosities. His recent books include Significant Figures, Incredible Numbers, Seventeen Equations that Changed the World, Professor Stewart's Casebook of Mathematical Mysteries and Calculating the Cosmos (all published by Profile). His app, Incredible Numbers, was published jointly by Profile and Touch Press in 2014. He is a Fellow of the Royal Society.

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