A complex succession function in the problem of generation of complex limit cylinders and their relation with real limit cycles

V. P. Tareev


Abstract: A succession function is constructed in the neighborhood of a complex focus, and its properties are studied. A theorem is proved concerning the generation of complex cylinders, and a connection between these and real limit cycles is established. The results have theoretical significance.
Bibliography: 18 titles.

UDC: 517.9

MSC: Primary 34C05; Secondary 58F21

Received: 28.02.1984 and 25.12.1984

 English version: Mathematics of the USSR-Sbornik, 1987, 58:1, 169–183

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