Phase Portraits of Planar Quadratic Systems

John Reyn

ISBN 10: 0387304134 / ISBN 13: 9780387304137

Editore: Springer Us Apr 2007, 2007

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Neuware - 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.

Codice articolo 9780387304137

Dati bibliografici

• Titolo: Phase Portraits of Planar Quadratic Systems
• Editore: Springer Us Apr 2007
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0387304134
• ISBN 13: 9780387304137
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

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.

Dalla quarta di copertina

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.