Lorenz-Emanuel System

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.


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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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