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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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. This the only book that 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:350 pagesPublished:November 23, 2010Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1441940243

ISBN - 13:9781441940247

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Table of Contents

1. Introduction.- 2. Critical Points in Quadratic Systems.- 3. Isoclines, Critical Points and Classes of Quadratic Systems.- 4. Analyzing Phase Portraits of Quadratic Systems.- 5. Phase Portraits of Quadratic Systems in the Class mf = 0.- 6. Quadratic Systems with a Center Point.- 7. Limit Cycles in Quadratic Systems.- 8. Phase Portraits of Quadratic Systems in the Class mf = 1.- 9. Phase Portraits of Quadratic Systems in the Class mf = 2.- 10. Phase Portraits of Quadratic Systems in the Class mf = 3.- 11. Phase Portraits of Quadratic Systems in the Class mf = 4.- References.