Phase Portraits of Planar Quadratic Systems: 583 (Mathematics and Its Applications) - Hardcover

Reyn, John

Hardcover

ISBN 10: 0387304134 ISBN 13: 9780387304137

Verlag: Springer, 2007

Inhaltsangabe

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.

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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.

 

Audience

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

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2007
• ISBN 10: 0387304134
• ISBN 13: 9780387304137
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 354
• Kontakt zum Hersteller: Nicht verfügbar