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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Autor principal: Reyn, John
Format: Livre numérique
Idioma:Anglais
Publicat: Boston, MA : Springer US : Springer e-books [20..].
Cham : Springer Nature
Col·lecció:Mathematics and Its Applications 583
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Nota: L'impression du document génère 343 p.
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Phase portraits of planar quadratic systems, by John Reyn, ..., New York, Springer, 2007, 1 vol. (XVI-334 p.), Mathematics and its applications, 0-387-30413-4
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Sumari: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
Descripció de l’ítem:L'impression du document génère 343 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. Index
ISBN:9780387352152
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