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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Locally finite and locally nilpotent derivations with applications to polynomial flows and polynomial morphisms


Author: Arno van den Essen
Journal: Proc. Amer. Math. Soc. 116 (1992), 861-871
MSC: Primary 13B10; Secondary 14E09, 34A99, 34C99
MathSciNet review: 1111440
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Abstract: We give a very simple proof of the fact that the Lorenz equations and the Maxwell-Bloch equations do not have a polynomial flow. We also give an algorithm to decide if a two-dimensional vector field over $ \mathbb{R}$ has a polynomial flow and how to compute the solutions (in case the vector field has a polynomial flow).


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1111440-5
PII: S 0002-9939(1992)1111440-5
Article copyright: © Copyright 1992 American Mathematical Society