Giuseppe Gaeta, Giampaolo Cicogna
Normal forms and Nonlinear Symmetries
(15K, Plain TeX)

ABSTRACT.  We present some results concerning Poincar\'e-Dulac normal forms of 
dynamical systems which are symmetric under (possibly nonlinear) Lie point 
transformations. We show in particular that the vector fields defining the 
dynamical system and the Lie symmetry can be put into a "joint normal 
form".