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Singularities and Groups in Bifurcation Theory

Name: Singularities and Groups in Bifurcation Theory
Brand: Springer-Verlag New York Inc.
SKU: 07184302
Price: 163.19 EUR
Availability: InStock
Author: David G. Schaeffer
ISBN: 9780387966526

David G. Schaeffer

Lingua

Inglese

Libro Rigido

Codice Libristo: 07184302

Casa editrice Springer-Verlag New York Inc., settembre 2000

Bifurcation theory studies how the structure of solutions to equations changes as parameters are var... Descrizione completa

Codice Libristo: 07184302

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163.19 €

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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.