The Lorenz system does not have a polynomial flow

Brian A Coomes

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

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The Lorenz system does not have a polynomial flow

Journal article

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The Lorenz system does not have a polynomial flow

Brian A Coomes

Journal of Differential Equations, Vol.82(2), pp.386-407

1989

DOI: https://doi.org/10.1016/0022-0396(89)90140-X

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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Citation topics: 9 Mathematics; 9.28 Pure Maths; 9.28.246 Moduli Spaces
Web Of Science research areas: Mathematics
ESI research areas: Mathematics

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Details

Title: The Lorenz system does not have a polynomial flow
Creators: Brian A Coomes - Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota 55455 USA
Publication Details: Journal of Differential Equations, Vol.82(2), pp.386-407
Publisher: Elsevier Inc
Academic Unit: College of A&S; A&S - Mathematics
Language: English
Resource Type: Journal article
Record Identifier: 991031578402802976