Structurally stable quadratic vector fields
著者
書誌事項
Structurally stable quadratic vector fields
（Memoirs of the American Mathematical Society, no. 639）
American Mathematical Society, 1998
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注記
"July 1998, volume 134, number 639 (fifth of 6 numbers)"
Includes bibliographical references
内容説明・目次
内容説明
This book solves a problem that has been open for over 20 years - the complete classification of structurally stable quadratic vector fields modulo limit cycles. The 1950s saw the first real impetus given to the development of the qualitative theory of quadratic vector fields, although prior and ongoing interest in the topic can be shown by the more than 800 papers that have been published on the subject. One of the problems in the qualitative theory of quadratic vector fields is the classification of all structurally stable ones. In this work the authors solve this problem completely modulo limit cycles and give all possible phase portraits for such structurally stable quadratic vector fields.
目次
Introduction Preliminary definitions Structural stability theorems Some preliminary tools Proof of Theorem 1.1(a) Proof of Theorem 1.1(b) Proofs of Theorems 1.2, 1.3 and 1.4 Structural stability and the parameter space Bibliography.
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