Singularities and Groups in Bifurcation Theory: Volume II
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1988
|
| Schriftenreihe: | Applied Mathematical Sciences
69 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XVI, 536 p) |
| ISBN: | 9781461245742 9781461289296 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4612-4574-2 |
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| 245 | 1 | 0 | |a Singularities and Groups in Bifurcation Theory |b Volume II |c by Martin Golubitsky, Ian Stewart, David G. Schaeffer |
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| 500 | |a 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 | ||
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461245742 9781461289296 |
| issn | 0066-5452 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855733 |
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| publishDate | 1988 |
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| series2 | Applied Mathematical Sciences |
| spelling | Golubitsky, Martin Verfasser aut Singularities and Groups in Bifurcation Theory Volume II by Martin Golubitsky, Ian Stewart, David G. Schaeffer New York, NY Springer New York 1988 1 Online-Ressource (XVI, 536 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 69 0066-5452 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 Mathematics Group theory Group Theory and Generalizations Mathematik Stewart, Ian Sonstige oth Schaeffer, David G. Sonstige oth https://doi.org/10.1007/978-1-4612-4574-2 Verlag Volltext |
| spellingShingle | Golubitsky, Martin Singularities and Groups in Bifurcation Theory Volume II Mathematics Group theory Group Theory and Generalizations Mathematik |
| title | Singularities and Groups in Bifurcation Theory Volume II |
| title_auth | Singularities and Groups in Bifurcation Theory Volume II |
| title_exact_search | Singularities and Groups in Bifurcation Theory Volume II |
| title_full | Singularities and Groups in Bifurcation Theory Volume II by Martin Golubitsky, Ian Stewart, David G. Schaeffer |
| title_fullStr | Singularities and Groups in Bifurcation Theory Volume II by Martin Golubitsky, Ian Stewart, David G. Schaeffer |
| title_full_unstemmed | Singularities and Groups in Bifurcation Theory Volume II by Martin Golubitsky, Ian Stewart, David G. Schaeffer |
| title_short | Singularities and Groups in Bifurcation Theory |
| title_sort | singularities and groups in bifurcation theory volume ii |
| title_sub | Volume II |
| topic | Mathematics Group theory Group Theory and Generalizations Mathematik |
| topic_facet | Mathematics Group theory Group Theory and Generalizations Mathematik |
| url | https://doi.org/10.1007/978-1-4612-4574-2 |
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