Abstract
We present a geometric proof of the Poincar'e-Dulac Normalization
Theorem for analytic vector fields with singularities of Poincar'e
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.
Original language | English |
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Pages (from-to) | 197-212 |
Number of pages | 16 |
Journal | Publicacións Matemáticas |
Volume | 49 |
Issue number | 1 |
Publication status | Published - 2005 |
Keywords
- Siegel center problem.
- Normalization vector fields