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Item Details
Title: SINGULARITIES AND GROUPS IN BIFURCATION THEORY
VOLUME II
By: M. Golubitsky, Ian Stewart, David G. Schaeffer
Format: Hardback

List price: £119.99


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ISBN 10: 0387966528
ISBN 13: 9780387966526
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 5 September, 2000
Edition: 1st ed. 1988. 2nd printing 2000
Series: Applied Mathematical Sciences 69
Pages: 536
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.
Illustrations: 73 Tables, black and white; XVI, 536 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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