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商品詳細
Phase Portraits of Planar Quadratic Systems. Softcover reprint of hardcover 1st ed. 2007.
・ISBN 978-1-4419-4024-7 paper EUR 149.99
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| 著者・編者 | Reyn, John, |
|---|---|
| シリーズ | Mathematics and Its Applications |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2010 |
| ページ数 | 334 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16875＞ |
解説
Although some examples of phase portraits of quadratic systems can already be found in the work of Poincare, the first paper dealing exclusively with these systems was published by Buechel 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.