Geodesic
Approximate calculation of the coefficients of the Dulac series
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2021), pp. 37-50

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An algorithm for the approximate calculation of the coefficients of the Dulac series (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.
Mots-clés : Monodromic singular point, monodromy transformation
Keywords: focus, center, Dulac series, correspondence mapping, Newton diagram, asymptotic representation, Hadamard integral. 
N. B. Medvedeva. Approximate calculation of the coefficients of the Dulac series. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2021), pp. 37-50. http://geodesic.mathdoc.fr/item/IVM_2021_10_a2/
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