DULAC'S THEOREM

In this work is proven the Dulac's Theorem,whích establishes that if acomplex 2-dimension vector field, which linear part has two resonant eigenvectors in the Poincare domain then it is locally analytically conjugate to a polinomial vectorfield. Is is also studied the geometric behavior of its...

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Detalles Bibliográficos
Autores: Benazic Tomé, Renato Mario, Espinoza Choqquepura, Claudio Vicente, Jurado Cerrón, Liliana Olga
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:Perú
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Idioma:español
OAI Identifier:oai:revistasinvestigacion.unmsm.edu.pe:article/9479
Acceso en línea:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9479
Access Level:acceso abierto
Palabra clave:Complex Differential Equations
Isolated Singularities
Complex Dynamics.
Ecuaciones Diferenciales Complejas
Singularidades Aisladas
Dinámica compleja.
Descripción
Sumario:In this work is proven the Dulac's Theorem,whích establishes that if acomplex 2-dimension vector field, which linear part has two resonant eigenvectors in the Poincare domain then it is locally analytically conjugate to a polinomial vectorfield. Is is also studied the geometric behavior of its orbits in a neighborhood of asingularity.