Overview
- Only book that gives a framework for classifying phase portraits of planar quadratic systems, including recent results
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematics and Its Applications (MAIA, volume 583)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Phase Portraits of Planar Quadratic Systems
Authors: John Reyn
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/978-0-387-35215-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2007
Hardcover ISBN: 978-0-387-30413-7Published: 02 April 2007
Softcover ISBN: 978-1-4419-4024-7Published: 23 November 2010
eBook ISBN: 978-0-387-35215-2Published: 08 July 2007
Edition Number: 1
Number of Pages: XVI, 334
Number of Illustrations: 144 b/w illustrations
Topics: Ordinary Differential Equations, Dynamical Systems and Ergodic Theory, Genetics and Population Dynamics