 96584 G. Gaeta
 Poincare' renormalized forms
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Nov 22, 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 a number of concrete cases. An alternative
formulation, conceptually convenient but computationally unpractical, is
also presented, and it is shown that the discussion immediately extends to
the Hamiltonian case and Birkhoff normal forms.
[This is a revised and much expanded version of MPARC 96263]
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