| Phase Portraits of Planar Quadratic Systems Contributor(s): Reyn, John (Author) |
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ISBN: 0387304134 ISBN-13: 9780387304137 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: April 2007 Annotation: Although some examples of phase portraits of quadratic systems can already be found in the work of Poincar?, the first paper dealing exclusively with these systems was published by B?chel 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Applied - Mathematics | Mathematical Analysis |
| Dewey: 515.35 |
| LCCN: 2006927053 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.95" H x 6.59" W x 9.31" (1.54 lbs) 334 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
