Elements of Applied Bifurcation Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Applied Mathematical Sciences
112 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | During the last few years several good textbooks on nonlinear dynamics have ap peared for graduate students in applied mathematics. It seems, however, that the majority of such books are still too theoretically oriented and leave many practi cal issues unclear for people intending to apply the theory to particular research problems. This book is designed for advanced undergraduate or graduate students in mathematics who will participate in applied research. It is also addressed to professional researchers in physics, biology, engineering, and economics who use dynamical systems as modeling tools in their studies. Therefore, only a moderate mathematical background in geometry, linear algebra, analysis, and differential equations is required. A brief summary of general mathematical terms and results that are assumed to be known in the main text appears at the end of the book. Whenever possible, only elementary mathematical tools are used. For example, we do not try to present normal form theory in full generality, instead developing only the portion of the technique sufficient for our purposes. The book aims to provide the student (or researcher) with both a solid basis in dynamical systems theory and the necessary understanding of the approaches, methods, results, and terminology used in the modem applied mathematics litera ture. A key theme is that of topological equivalence and codimension, or "what one may expect to occur in the dynamics with a given number of parameters allowed to vary |
| Beschreibung: | 1 Online-Ressource (XV, 518 p) |
| ISBN: | 9781475724219 9781475724233 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4757-2421-9 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
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| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781475724219 9781475724233 |
| issn | 0066-5452 |
| language | English |
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| spelling | Kuznetsov, Yuri A. Verfasser aut Elements of Applied Bifurcation Theory by Yuri A. Kuznetsov New York, NY Springer New York 1995 1 Online-Ressource (XV, 518 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 112 0066-5452 During the last few years several good textbooks on nonlinear dynamics have ap peared for graduate students in applied mathematics. It seems, however, that the majority of such books are still too theoretically oriented and leave many practi cal issues unclear for people intending to apply the theory to particular research problems. This book is designed for advanced undergraduate or graduate students in mathematics who will participate in applied research. It is also addressed to professional researchers in physics, biology, engineering, and economics who use dynamical systems as modeling tools in their studies. Therefore, only a moderate mathematical background in geometry, linear algebra, analysis, and differential equations is required. A brief summary of general mathematical terms and results that are assumed to be known in the main text appears at the end of the book. Whenever possible, only elementary mathematical tools are used. For example, we do not try to present normal form theory in full generality, instead developing only the portion of the technique sufficient for our purposes. The book aims to provide the student (or researcher) with both a solid basis in dynamical systems theory and the necessary understanding of the approaches, methods, results, and terminology used in the modem applied mathematics litera ture. A key theme is that of topological equivalence and codimension, or "what one may expect to occur in the dynamics with a given number of parameters allowed to vary Mathematics Global analysis (Mathematics) Analysis Mathematik Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-2421-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kuznetsov, Yuri A. Elements of Applied Bifurcation Theory Mathematics Global analysis (Mathematics) Analysis Mathematik Verzweigung Mathematik (DE-588)4078889-1 gnd |
| subject_GND | (DE-588)4078889-1 |
| title | Elements of Applied Bifurcation Theory |
| title_auth | Elements of Applied Bifurcation Theory |
| title_exact_search | Elements of Applied Bifurcation Theory |
| title_full | Elements of Applied Bifurcation Theory by Yuri A. Kuznetsov |
| title_fullStr | Elements of Applied Bifurcation Theory by Yuri A. Kuznetsov |
| title_full_unstemmed | Elements of Applied Bifurcation Theory by Yuri A. Kuznetsov |
| title_short | Elements of Applied Bifurcation Theory |
| title_sort | elements of applied bifurcation theory |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Verzweigung Mathematik (DE-588)4078889-1 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Verzweigung Mathematik |
| url | https://doi.org/10.1007/978-1-4757-2421-9 |
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