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Phase Portraits of Planar Quadratic Systems Softcover reprint of hardcover 1st ed. 2007 Edition
Author(s): John Reyn (Author)
- Publisher: Springer
- Publication Date: November 23, 2010
- Edition: Softcover reprint of hardcover 1st ed. 2007
- Language: English
- Print length: 350 pages
- ISBN-10: 1441940243
- ISBN-13: 9781441940247
Book 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.
Editorial Reviews
From the Back Cover
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.
