| 书目名称 | Singularities and Groups in Bifurcation Theory |
| 副标题 | Volume II |
| 编辑 | Martin Golubitsky,Ian Stewart,David G. Schaeffer |
| 视频video | |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 1988 |
| 关键词 | Group theory; Irreducibility; Lattice; group action; invariant theory; partial differential equation |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-4574-2 |
| isbn_softcover | 978-1-4612-8929-6 |
| isbn_ebook | 978-1-4612-4574-2Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer-Verlag New York, Inc. 1988 |
发表于 2025-3-21 17:18:53
