Bifurcation Theory: An Introduction with Applications to PDEs
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2004
|
| Series: | Applied Mathematical Sciences
156 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations |
| Physical Description: | 1 Online-Ressource (VII, 347 p.) 38 illus |
| ISBN: | 9780387216331 9781468493801 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/b97365 |
Staff View
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| indexdate | 2024-07-10T01:21:03Z |
| institution | BVB |
| isbn | 9780387216331 9781468493801 |
| issn | 0066-5452 |
| language | English |
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| physical | 1 Online-Ressource (VII, 347 p.) 38 illus |
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| spelling | Kielhöfer, Hansjörg 1945- Verfasser (DE-588)108216675 aut Bifurcation Theory An Introduction with Applications to PDEs by Hansjörg Kielhöfer New York, NY Springer New York 2004 1 Online-Ressource (VII, 347 p.) 38 illus txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 156 0066-5452 In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations Mathematics Differentiable dynamical systems Differential equations, partial Mechanics, applied Partial Differential Equations Dynamical Systems and Ergodic Theory Applications of Mathematics Theoretical and Applied Mechanics Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 s Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 https://doi.org/10.1007/b97365 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kielhöfer, Hansjörg 1945- Bifurcation Theory An Introduction with Applications to PDEs Mathematics Differentiable dynamical systems Differential equations, partial Mechanics, applied Partial Differential Equations Dynamical Systems and Ergodic Theory Applications of Mathematics Theoretical and Applied Mechanics Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4078889-1 |
| title | Bifurcation Theory An Introduction with Applications to PDEs |
| title_auth | Bifurcation Theory An Introduction with Applications to PDEs |
| title_exact_search | Bifurcation Theory An Introduction with Applications to PDEs |
| title_full | Bifurcation Theory An Introduction with Applications to PDEs by Hansjörg Kielhöfer |
| title_fullStr | Bifurcation Theory An Introduction with Applications to PDEs by Hansjörg Kielhöfer |
| title_full_unstemmed | Bifurcation Theory An Introduction with Applications to PDEs by Hansjörg Kielhöfer |
| title_short | Bifurcation Theory |
| title_sort | bifurcation theory an introduction with applications to pdes |
| title_sub | An Introduction with Applications to PDEs |
| topic | Mathematics Differentiable dynamical systems Differential equations, partial Mechanics, applied Partial Differential Equations Dynamical Systems and Ergodic Theory Applications of Mathematics Theoretical and Applied Mechanics Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
| topic_facet | Mathematics Differentiable dynamical systems Differential equations, partial Mechanics, applied Partial Differential Equations Dynamical Systems and Ergodic Theory Applications of Mathematics Theoretical and Applied Mechanics Mathematik Partielle Differentialgleichung Verzweigung Mathematik |
| url | https://doi.org/10.1007/b97365 |
| work_keys_str_mv | AT kielhoferhansjorg bifurcationtheoryanintroductionwithapplicationstopdes |