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Another integrable case in the Lorenz model

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Tat-Leung Yee1 and Robert Conte

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LETTER TO THE EDITOR

A scaling invariance in the Lorenz model allows one to consider the usually discarded case σ = 0. We integrate it with the third Painlevé function.


PACS

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

MSC

93C05 Linear systems

70Kxx Nonlinear dynamics (See also 34Cxx, 37-XX)

93C10 Nonlinear systems

33E17 Painlevé-type functions

Subjects

Statistical physics and nonlinear systems

Dates

Issue 10 (12 March 2004)

Received 29 January 2004

Published 24 February 2004



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