Phase Portraits of Planar Quadratic Systems

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...

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Bibliographic Details
Main Author: Reyn, John
Format: eBook
Language:English
Published: New York, NY Springer US 2007, 2007
Edition:1st ed. 2007
Series:Mathematics and Its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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