Normalization of Poincaré singularities via variation of constants.

Carletti, Timoteo, Margheri, Alessandro, and Villarin, Massimo. "Normalization of Poincaré singularities via variation of constants.." Publicacions Matemàtiques 49.1 (2005): 197-212. <http://eudml.org/doc/41559>.

@article{Carletti2005,
abstract = {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.},
author = {Carletti, Timoteo, Margheri, Alessandro, Villarin, Massimo},
journal = {Publicacions Matemàtiques},
keywords = {Sistemas dinámicos; Campos vectoriales; Singularidades; Normalization vector fields; Siegel center problem.},
language = {eng},
number = {1},
pages = {197-212},
title = {Normalization of Poincaré singularities via variation of constants.},
url = {http://eudml.org/doc/41559},
volume = {49},
year = {2005},
}

TY - JOUR
AU - Carletti, Timoteo
AU - Margheri, Alessandro
AU - Villarin, Massimo
TI - Normalization of Poincaré singularities via variation of constants.
JO - Publicacions Matemàtiques
PY - 2005
VL - 49
IS - 1
SP - 197
EP - 212
AB - 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.
LA - eng
KW - Sistemas dinámicos; Campos vectoriales; Singularidades; Normalization vector fields; Siegel center problem.
UR - http://eudml.org/doc/41559
ER -