ENGLISH

Phase Portraits of Planar Quadratic Systems

By John Reyn (auth.)

Book information

Publisher
Springer US
Year
2007
ISBN
9780387304137, 0387304134, 9780387352152, 0387352155
DOI
10.1007/978-0-387-35215-2
Open Library ID
OL7445265M
Language
english
Format
PDF
Filesize
7 MB (7691173 bytes)
Series
Mathematics and Its Applications 583
Edition
1
Pages
334\351
DPI
300
Scanned
yes
Time added
2010-05-31 15:29:46
Ordinary Differential Equations; Dynamical Systems

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. Audience This book is intended for mathematics graduate students and researchers studying quadratic systems.

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