Phase portraits of planar quadratic systems
著者
書誌事項
Phase portraits of planar quadratic systems
（Mathematics and its applications, v. 583）
Springer, c2007
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注記
Includes bibliographical references (p. [305]-332) and index
内容説明・目次
内容説明
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.
目次
Critical points in quadratic systems.- Isoclines, critical points and classes of quadratic systems.- Analyzing phase portraits of quadratic systems.- Phase portraits of quadratic systems in the class mf=0.- Quadratic systems with center points.- Limit cycles in quadratic systems.- Phase portraits of quadratic systems in the class mf=1.- Phase portraits of quadratic systems in the class mf=2.- Phase portraits of quadratic systems in the class mf=3.- Phase portraits of quadratic systems in the class mf=4.
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