书目名称 | Phase Portraits of Planar Quadratic Systems | 编辑 | John Reyn | 视频video | | 概述 | Only book that gives a framework for classifying phase portraits of planar quadratic systems, including recent results.Includes supplementary material: | 丛书名称 | Mathematics and Its Applications | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2007 | 关键词 | DEX; Finite; classification; development; knowledge; presentation; ordinary differential equations | 版次 | 1 | doi | https://doi.org/10.1007/978-0-387-35215-2 | isbn_softcover | 978-1-4419-4024-7 | isbn_ebook | 978-0-387-35215-2 | copyright | Springer-Verlag US 2007 |
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