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

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 generali...

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Detalles Bibliográficos
Autores: Algaba Durán, Antonio, García García, Cristóbal, Reyes Columé, Manuel
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad de Huelva (UHU)
Repositorio:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Idioma:inglés
OAI Identifier:oai:ariasmontano.uhu.es:10272/25436
Acceso en línea:https://hdl.handle.net/10272/25436
Access Level:acceso abierto
Palabra clave:Monodromy of vector fields
Characteristic orbits
Monodromy
Quasi-homogeneous vector fields
Nilpotent systems
Newton diagrams
Descripción
Sumario: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