Finiteness theorems for limit cycles
Author(s)
Bibliographic Information
Finiteness theorems for limit cycles
(Translations of mathematical monographs, v. 94)
American Mathematical Society, c1991
- Other Title
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Теоремы конечности для предельных циклов
Teoremy konechnosti dli︠a︡ predelʹnykh t︠s︡iklov
Available at / 43 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
Dc19:515/Il52070218162
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Note
Includes bibliographical references (p. 287-288)
Translated from the Russian by H.H. McFaden
Description and Table of Contents
Description
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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