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Normal form theory and spectral sequences

Jan A. Sanders
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Abstract

The concept of unique normal form is formulated in terms of a spectral sequence. As an illustration of this technique some results of Baider and Churchill concerning the normal form of the anharmonic oscillator are reproduced. The aim of this paper is to show that spectral sequences give us a natural framework in which to formulate normal form theory.

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Jan A. Sanders. 2003-03-10. Normal form theory and spectral sequences. https://arxiv.org/abs/math/0303115

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