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.
- AMS (MOS) subject classifications: Primary 34A05, Secondary 12H05, 13N05, 34A20, 34A30, 34C25, 34C35, 34005, 58F13, 58F15, 58F22, 58F25
- Polynomial flows
- linear ordinary differential equations
ASJC Scopus subject areas