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Статья
2021

Approximate Calculation of the Coefficients of the Dulac Series


N. B. MedvedevaN. B. Medvedeva
Русская математика
https://doi.org/10.3103/S1066369X21100030
Abstract / Full Text

An algorithm for the approximate calculation of the coefficients of the Dulac series (an asymptotic series of the monodromy transformation) in the space of vector fields with a Newton diagram containing more than one edge and a monodromic singular point is proposed. The conditions for the applicability of this algorithm are obtained. The algorithm is implemented in the MAPLE package. Examples are given for the case of a Newton diagram consisting of two edges.

Author information
  • Chelyabinsk State University, 129 Br. Kashirinykh str., 454001, Chelyabinsk, RussiaN. B. Medvedeva
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