Details

The variables are dimensionless; is the velocity of the mean of west wind in mid-latitudes, while and are amplitudes of poleward heat transport, with energies and , and decreasing energy . Linear terms represent atmospheric dissipation. The system is determined by the differential equations

where allows damping for the west wind and for energy exchange. The rest of the parameters are positive: is the mean value of the west wind's velocity or temperature difference equator-to-pole, and and are thermal driving forces. Finally, the time unit is equivalent to five days.

Reference

[1] T. Tél and M. Gruiz, Chaotic Dynamics: An Introduction Based on Classical Mechanics, Cambridge, UK: Cambridge University Press, 2006.