Phase portraits of planar quadratic systems

著者
    • Reyn, John
書誌事項

Phase portraits of planar quadratic systems

by John Reyn

(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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詳細情報
  • NII書誌ID(NCID)
    BA81862445
  • ISBN
    • 0387304134
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York, N.Y.
  • ページ数/冊数
    xvi, 334 p.
  • 大きさ
    25 cm
  • 親書誌ID
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