Phase Portraits of Planar Quadratic Systems by John ReynPhase Portraits of Planar Quadratic Systems by John Reyn

Phase Portraits of Planar Quadratic Systems

byJohn Reyn

Paperback | November 23, 2010

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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.

Title:Phase Portraits of Planar Quadratic SystemsFormat:PaperbackDimensions:334 pagesPublished:November 23, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1441940243

ISBN - 13:9781441940247

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Table of Contents

Critical points in quadratic systems.- Isoclines, critical points and classes of quadratic systems.- Analyzing phase portraits of quadratic systems.- Phase portraits of quadratic systems in the class mf=0.- Quadratic systems with center points.- Limit cycles in quadratic systems.- Phase portraits of quadratic systems in the class mf=1.- Phase portraits of quadratic systems in the class mf=2.- Phase portraits of quadratic systems in the class mf=3.- Phase portraits of quadratic systems in the class mf=4.