Strong mode locking in systems far from chaos

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Abstract
Based on a simple model of a driven oscillator without inertia, we demonstrate that entirely nonchaotic systems in general may develop a rich mode-locking structure in an appropriate range of control parameters. We show that for this structure the scaling properties are similar to those for a quasiperiodic system near the transition of chaos. Nevertheless, the structure originates from a different type of transition. In particular, the analysis serves to resolve the origin of the ‘‘close-to-chaotic’’ behavior in overdamped charge-density-wave systems. Also, this work provides a natural basis for studies of overdamped spatially extended systems.
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