Normalization of Poincairé singularities "via" variation of constants
- Autores: Alessandro Margheri, Timoteo Carletti, Massimo Villarini
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 49, Nº 1, 2005, págs. 197-212
- Idioma: inglés
- DOI: 10.5565/publmat_49105_09
- Enlaces
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Resumen
We present a geometric proof of the Poincaré-Dulac Normalization Theorem for analytic vector fields with singularities of Poincaré type. Our approach allows us to relate the size of the convergence domain of the linearizing transformation to the geometry of the complex foliation associated to the vector field.
A similar construction is considered in the case of linearization of maps in a neighborhood of a hyperbolic fixed point.
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