Geodesic
Stability of monodromic singular points of planar dynamical systems with a~fixed Newton diagram
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 34-49

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The second term of asymptotics of the monodromy map of the monodromic singular point is calculated for some class of vector fields in the plane with the Newton diagram having two even edges. In this case the principal term of the monodromy map is identical. The result obtained gives the sufficient condition for a singular point to be a focus.
Mots-clés : monodromic singular point, monodromy map
Keywords: Newton diagram, resolution of singularities. 
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     author = {A. S. Voronin and N. B. Medvedeva},
     title = {Stability of monodromic singular points of planar dynamical systems with a~fixed {Newton} diagram},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {34--49},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {ru},
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A. S. Voronin; N. B. Medvedeva. Stability of monodromic singular points of planar dynamical systems with a~fixed Newton diagram. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 34-49. http://geodesic.mathdoc.fr/item/VUU_2009_3_a3/