Phase Portraits of Planar Quadratic Systems
Although some examples of phase portraits of quadratic systems can already be found in the work of Poincaré, the first paper dealing exclusively with these systems was published by Büchel in 1904. By the end of the 20th century an increasing flow of publications resulted in nearly a thousand papers...
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| Main Author: | |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Boston, MA :
Springer US : Springer e-books
[20..].
Cham : Springer Nature |
| Series: | Mathematics and Its Applications
583 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 343 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Phase portraits of planar quadratic systems, by John Reyn, ..., New York, Springer, 2007, 1 vol. (XVI-334 p.), Mathematics and its applications, 0-387-30413-4 |
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| 100 | 1 | |a Reyn, John. | |
| 245 | 1 | 0 | |a Phase Portraits of Planar Quadratic Systems |c John Reyn,... |
| 260 | |a Boston, MA : |b Springer US : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Mathematics and Its Applications |v 583 | |
| 500 | |a L'impression du document génère 343 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Critical points in quadratic systems Isoclines, critical points and classes of quadratic systems Analyzing phase portraits of quadratic systems Phase portraits of quadratic systems in the class mf=0 Quadratic systems with center points Limit cycles in quadratic systems Phase portraits of quadratic systems in the class mf=1 Phase portraits of quadratic systems in the class mf=2 Phase portraits of quadratic systems in the class mf=3 Phase portraits of quadratic systems in the class mf=4 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Although some examples of phase portraits of quadratic systems can already be found in the work of Poincaré, the first paper dealing exclusively with these systems was published by Büchel in 1904. By the end of the 20th century an increasing flow of publications resulted in nearly a thousand papers on the subject. This book attempts to give a presentation of the advance of our knowledge of phase portraits of quadratic systems, paying special attention to the historical development of the subject. The book organizes the portraits into classes, using the notions of finite and infinite multiplicity and finite and infinite index. Classifications of phase portraits for various classes are given using the well-known methods of phase plane analysis. Audience This book is intended for mathematics graduate students and researchers studying quadratic systems | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Équations du second degré | ||
| 776 | 0 | |0 116847212 |t Phase portraits of planar quadratic systems |f by John Reyn, ... |c New York |n Springer |d 2007 |p 1 vol. (XVI-334 p.) |s Mathematics and its applications |z 0-387-30413-4 | |
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