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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 29-66 |
| Number of pages | 38 |
| Journal | Journal of Dynamics and Differential Equations |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 1991 |
| Externally published | Yes |
Keywords
- AMS (MOS) subject classifications: Primary 34A05, Secondary 12H05, 13N05, 34A20, 34A30, 34C25, 34C35, 34005, 58F13, 58F15, 58F22, 58F25
- Polynomial flows
- derivations
- linear ordinary differential equations
ASJC Scopus subject areas
- Analysis
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Cite this
Coomes, B., & Zurkowski, V. (1991). Linearization of polynomial flows and spectra of derivations. Journal of Dynamics and Differential Equations, 3(1), 29-66. https://doi.org/10.1007/BF01049488