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...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2009 |
| Country: | Perú |
| Institution: | Universidad Nacional Mayor de San Marcos |
| Repository: | Revistas - Universidad Nacional Mayor de San Marcos |
| Language: | Spanish |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/9479 |
| Online Access: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9479 |
| Access Level: | Open access |
| Keyword: | Complex Differential Equations Isolated Singularities Complex Dynamics. Ecuaciones Diferenciales Complejas Singularidades Aisladas Dinámica compleja. |
| Summary: | 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. |
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