96-263 G. Gaeta
Poincare' renormalized forms (42K, TeX) Jun 13, 96
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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 $\la = \pm i$.

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