Abstract
The stability properties of zonal circulations induced by external forcing in a rotating atmosphere are investigated making use of a truncated model of the barotropic vorticity equation for forced, dissipative non-divergent flow in spherical geometry. Sufficient conditions for global and local asymptotic stability are found as a function of the dissipation time-scale, the coefficients of non-linear interaction between zonal flow and wave components, and the absolute rotation speed of the atmosphere.
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