Elements of Applied Bifurcation Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Applied Mathematical Sciences
112 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis. Reviews of earlier editions: "I know of no other book that so clearly explains the basic phenomena of bifurcation theory." - Math Reviews "The book is a fine addition to the dynamical systems literature. It is good to see, in our modern rush to quick publication, that we, as a mathematical community, still have time to bring together, and in such a readable and considered form, the important results on our subject." - Bulletin of the AMS "It is both a toolkit and a primer" - UK Nonlinear News |
| Beschreibung: | 1 Online-Ressource (XIX, 594 p) |
| ISBN: | 9780387227108 9780387983820 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/b98848 |
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Datensatz im Suchindex
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/b98848 |
| edition | Second Edition |
| format | Electronic eBook |
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| id | DE-604.BV042419080 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780387227108 9780387983820 |
| issn | 0066-5452 |
| language | English |
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| spelling | Kuznetsov, Yuri A. Verfasser aut Elements of Applied Bifurcation Theory by Yuri A. Kuznetsov Second Edition New York, NY Springer New York 1998 1 Online-Ressource (XIX, 594 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 112 0066-5452 This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis. Reviews of earlier editions: "I know of no other book that so clearly explains the basic phenomena of bifurcation theory." - Math Reviews "The book is a fine addition to the dynamical systems literature. It is good to see, in our modern rush to quick publication, that we, as a mathematical community, still have time to bring together, and in such a readable and considered form, the important results on our subject." - Bulletin of the AMS "It is both a toolkit and a primer" - UK Nonlinear News 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/b98848 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/b98848 |
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