- 96-263 G. Gaeta
- Poincare' renormalized forms
Jun 13, 96
(auto. generated ps),
of related papers
Abstract. In Poincar\'e Normal Form theory, one considers a series
of transformations generated by homogeneous polynomials obtained as
solution of the homological equation; such solutions are unique up to
terms in the kernel of the homological operator. Careful consideration
of the higher order terms generated by polynomials differing for a term
in this kernel leads to the possibility of further reducing the Normal
Form expansion of a formal power series, in a completely algorithmic way.
The algorithm is also applied to planar vector fields whose linear part
has eigenvalues $\la = \pm i$.