Lorenz-Emanuel System

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The Lorenz–Emanuel system is a rudimentary model of a weather variable , as measured by a series of uniformly distributed meteorological stations along the same latitude on Earth.

Contributed by: Enrique Zeleny (April 2013)
Open content licensed under CC BY-NC-SA



The equations of the model are given by


under the conditions , , and ; where the nonlinear terms are related by conservation of energy and advection, the term with the stands for dissipation of energy, and is a constant external force.


[1] E. N. Lorenz and K. A. Emanuel, "Optimal Sites for Supplementary Weather Observations: Simulation with a Small Model," Journal of the Atmospheric Sciences, 55(3), 1998 pp. 399–414. doi:10.1175/1520-0469(1998)055<0399:OSFSWO>2.0.CO;2.

[2] J. C. Sprott, Elegant Chaos: Algebraically Simple Chaotic Flows, Singapore: World Scientific, 2010.

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