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A Model of Atmospheric Circulation

This Demonstration illustrates a mathematical model of atmospheric circulation, represented by the equations:
,
,
,
with initial conditions
,
Here represents time, stands for the strength of the symmetric, globally averaged westerly wind current, and and are the cosine and sine phases of a chain of superposed waves transporting heat toward the poles. and are thermal forcings: is the symmetric cross-latitude heating contrast and accounts for the asymmetric heating contrast between oceans and continents; is the angular frequency. The parameters of interest are the thermal forcings and their angular frequency; the values of the parameters and are set to 20 and 18.

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References
[1] B. S. Lakshmi and K. L. Vasundhara, "A Model for Atmospheric Circulation,"Apeiron 19(3), 2012 pp. 264–281. redshift.vif.com/JournalFiles/V19NO3PDF/V19N3LAK.pdf.
[2] H. Broer, C. Simo, and R. Vitolo, "Bifurcations and Strange Attractors in the Lorenz-84 Climate Model with Seasonal Forcing," NonLinearity, 15(4), 2002 pp. 1205–1267. doi:10.1088/0951-7715/15/4/312.
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