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Using a nonlinear mean-field solar dynamo model, we study relationshipsbetween the amplitude of the `extended' mode of migrating zonal flows(`torsional oscillations') and magnetic cycles, and investigate whetherproperties the torsional oscillations in subsurface layers and in the deepconvection zone can provide information about the future solar cycles. Weconsider two types of dynamo models: models with regular variations of thealpha-effect, and models with stochastic fluctuations, simulating `long'- and'short-memory' types of magnetic activity variations. It is found thattorsional oscillation parameters, such the zonal acceleration, show aconsiderable correlation with the magnitude of the subsequent cycles with atime lag of 11-20 yr. The sign of the correlation and the time-lag parameterscan depend on the depth and latitude of the torsional oscillations as well ason the properties of long-term (`centennial') variations of the dynamo cycles.The strongest correlations are found for the zonal acceleration at highlatitudes at the base of the convection zone. The model results demonstratethat helioseismic observations of the torsional oscillations can be useful foradvanced prediction of the solar cycles, one-two sunspot cycles ahead.

Torsional Oscillations in Dynamo Models with Fluctuations and Potential for Helioseismic Predictions of the Solar Cycles