| Singularities and Groups in Bifurcation Theory: Volume II 1988. 2nd Print Edition Contributor(s): Golubitsky, Martin (Author), Stewart, Ian (Author), Schaeffer, David G. (Author) |
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ISBN: 0387966528 ISBN-13: 9780387966526 Publisher: Springer OUR PRICE: $189.99 Product Type: Hardcover - Other Formats Published: June 1988 Annotation: Applied Mathematical Sciences #69.In this volume we focus on bifurcation problems with symmetry and show how group-theoretic techniques aid the understanding of transitions in symmetric systems. |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Mathematics | Group Theory |
| Dewey: 512.2 |
| Series: Applied Mathematical Sciences (Springer) |
| Physical Information: 1.18" H x 6.45" W x 9.56" (2.02 lbs) 536 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |