The Lorenz system does not have a polynomial flow

Brian A. Coomes

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


One question that has not been answered using the results in [3] is the following: Do the Lorenz equations have a polynomial flow? By inspecting their p-symmetries we show they do not.

Original languageEnglish (US)
Pages (from-to)386-407
Number of pages22
JournalJournal of Differential Equations
Issue number2
StatePublished - Dec 1989

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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