A new algorithm for determining the monodromy of a planar differential system

We give a new algorithmic criterium that determines wether an isolated degenerate singular point of a system of di erential equations on the plane is monodromic. This criterium involves the conservative and dissipative parts associated to the edges and vertices of the Newton diagram of the vector el...

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Detalles Bibliográficos
Autores: Algaba Durán, Antonio, García García, Cristóbal, Reyes Columé, Manuel
Tipo de recurso: artículo
Fecha de publicación:2014
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:10272/25438
Acceso en línea:https://hdl.handle.net/10272/25438
Access Level:acceso abierto
Palabra clave:Characteristic orbits
Monodromy of vector fields
Monodromy
Degenerate systems
Newton diagram
1206.02 Ecuaciones Diferenciales
Descripción
Sumario:We give a new algorithmic criterium that determines wether an isolated degenerate singular point of a system of di erential equations on the plane is monodromic. This criterium involves the conservative and dissipative parts associated to the edges and vertices of the Newton diagram of the vector eld.