A. S. Voronin, N. B. Medvedeva, “The asymptotics of the monodromy map in case of two even edges of Newton diagramm”, Vestnik Chelyabinsk. Gos. Univ., 2011, Issue 14,Pages <nobr>12

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Differential equations

The asymptotics of the monodromy map in case of two even edges of Newton diagramm

A. S. Voronin, N. B. Medvedeva

Chelyabinsk State University

Abstract: The second term of the asymptotics of the monodromy map of the monodromic singular point of the vector field with the Newton diagramm consisting of two even edges is calculated. The sufficient condition for monodromic singular point to be a focus is obtained.

Keywords: monodromic singular point, monodromy map, focus, Newton diagramm.