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. 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.

Singularities and Groups in Bifurcation Theory: Vol 1

Science & Math

Golubitsky, M.

Schaeffer, D.

Mathematics

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

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Books by Schaeffer, D.

See the best price to sell, buy, or rent books by Schaeffer, D.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Singularities and Groups in Bifurcation Theory: Vol 1