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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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| Auteur principal : | |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Phase Portraits of Planar Quadratic Systems / John Reyn,... |
| Publié : |
Boston, MA :
Springer US
, [20..] Cham : Springer e-books Springer Nature |
| Collection : | Mathematics and its applications Managing Editor : M. Hazewinkel,... ; 583 |
| Accès en ligne : |
Accès Nantes Université
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| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | 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 |
| Sujets : | |
| Documents associés : | Autre format:
Phase portraits of planar quadratic systems |
| Résumé : | 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 |
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| Notes : | L'impression du document génère 343 p. |
| Bibliographie : | Bibliogr. Index |
| ISBN : | 978-0-387-35215-2 |
| DOI : | 10.1007/978-0-387-35215-2 |