Linearization of polynomial flows and spectra of derivations

Brian Coomes, Victor Zurkowski

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 languageEnglish (US)
Pages (from-to)29-66
Number of pages38
JournalJournal of Dynamics and Differential Equations
Issue number1
StatePublished - Jan 1 1991
Externally publishedYes


  • 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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