Abstract
We show that a polynomial flow is a solution of a linear ordinary differential equation. From this, we draw conclusions about the possible dynamics of polynomial flows. We also show how point spectra of derivations associated with polynomial vector fields can be used to identify p-f vector fields.
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This paper is based on research done during the author's postdoctoral appointments at the IMA.
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Coomes, B., Zurkowski, V. Linearization of polynomial flows and spectra of derivations. J Dyn Diff Equat 3, 29–66 (1991). https://doi.org/10.1007/BF01049488
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DOI: https://doi.org/10.1007/BF01049488