The Lorenz system does not have a polynomial flow

Brian A. Coomes

doi:10.1016/0022-0396(89)90140-X

The Lorenz system does not have a polynomial flow

Brian A. Coomes

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	386-407
Number of pages	22
Journal	Journal of Differential Equations
Volume	82
Issue number	2
DOIs	https://doi.org/10.1016/0022-0396(89)90140-X
State	Published - Dec 1989

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/0022-0396(89)90140-X

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title = "The Lorenz system does not have a polynomial flow",

abstract = "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.",

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