Abstract
In this paper we consider the dynamics of the sine circle map with quasiperiodic forcing and very small forcing frequency. One of our goals is to compare the dynamics of our system with those of the system with larger values of the frequency. In particular we discovered an unusual fine structure of the mode-locking regions which disappears with increase in the forcing frequency. We investigated how this fine structure depends on the system parameters and described the bifurcations which occur on the boundaries of the mode-locking regions.
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