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Singularities and Groups in Bifurcation Theory

Volume II

Produktform: E-Buch Text Elektronisches Buch in proprietärem

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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-1-4612-4574-2 / 978-1461245742 / 9781461245742

Verlag: Springer US

Erscheinungsdatum: 06.12.2012

Seiten: 536

Autor(en): Martin Golubitsky, david schaeffer, Ian Stewart, David G. Schaeffer

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