Phase Portraits of Planar Quadratic - E-book

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Phase Portraits Of Planar Quadratic Systems - ENG

John Reyn

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Sinopsis

ISBN:	9780387352152
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Equaciones Diferenciales general
Año de publicación:	2007-07-08

Although some examples of phase portraits of quadratic systems can already be found in the work of PoincarÃ©, the first paper dealing exclusively with these systems was published by BÃ¼chel 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.

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