El presente trabajo estudia Sistemas de Ecuaciones Diferenciales Ordinarias Complejas y se demostrará los siguientes teoremas, Teorema de Linealización de Poincaré en Cⁿ que dice que un campo con autovalores no resonantes es localmente equivalente con su parte lineal y el Teorema de Dulac en Cⁿ que dice que un campo con autovalores resonantes es localmente equivalente a un campo polinomial / ---This work studies Ordinary Differential Equations Systems Complex and prove the following theorems, Theorem Poincar´e Linearization in Cⁿ which says that a field with non-resonant eigenvalues is locally equivalent to its linear part and Theorem Dulac says will show that a field with eigenvalues resonant is locally equivalent to a polynomial field.
| Identifer | oai:union.ndltd.org:Cybertesis/oai:cybertesis.unmsm.edu.pe:cybertesis/4376 |
| Date | January 2012 |
| Creators | Jurado Cerrón, Liliana Olga |
| Contributors | Benazic Tomé, Renato Mario |
| Publisher | Universidad Nacional Mayor de San Marcos |
| Source Sets | Universidad Nacional Mayor de San Marcos - SISBIB PERU |
| Language | Spanish |
| Detected Language | Spanish |
| Type | info:eu-repo/semantics/bacherlorThesis |
| Source | Repositorio de Tesis - UNMSM, Universidad Nacional Mayor de San Marcos |
| Rights | info:eu-repo/semantics/openAccess |
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