Finiteness theorems for limit cycles

書誌事項

Finiteness theorems for limit cycles

Yu.S. Ilʹyashenko

(Translations of mathematical monographs, v. 94)

American Mathematical Society, c1991

タイトル別名

Теоремы конечности для предельных циклов

Teoremy konechnosti dli︠a︡ predelʹnykh t︠s︡iklov

大学図書館所蔵 件 / 43

この図書・雑誌をさがす

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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