Abstract
In Stróżyna and Żoładek (2008 Bull. Belgian Math. Soc. Simon Stevin 15 927–34) a generalization of the Takens normal form for a nilpotent singularity of a vector field in was obtained. Here we present an example where the corresponding normalizing series is divergent. This indicates that the generalized Takens normal form for a general nilpotent singularity in , n ⩾ 3, is non-analytic.
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