Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram

• A. Algaba ^[1] ; C. García ^[1] ; M. Reyes ^[1]
  1. [1] Huelva University, Spain
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 287, Nº 1 (15 October 2015), 2015, págs. 78-87
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.03.018
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• Resumen

  • Newton diagram of a planar vector field allows to determine whether a singular point of an analytic system is a monodromic singular point. We solve the monodromy problem for the nilpotent systems and we apply our method to a wide family of systems with a degenerate singular point, so-called generalized nilpotent cubic systems.