Finiteness theorems for limit cycles
著者
書誌事項
Finiteness theorems for limit cycles
(Translations of mathematical monographs, v. 94)
American Mathematical Society, c1991
- タイトル別名
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Теоремы конечности для предельных циклов
Teoremy konechnosti dli︠a︡ predelʹnykh t︠s︡iklov
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注記
Includes bibliographical references (p. 287-288)
Translated from the Russian by H.H. McFaden
内容説明・目次
内容説明
Can we be absolutely sure that a polynomial vector field on the real plane has a finite number of limit cycles? Yes, one proof involves the theory of Dulac, going out into the complex domain, the resolution of singularities, the geometric theory of normal forms, and the superexact asymptotic series.
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