Is The Complex Oscillation Related to Observation Limit?

Mathematically, the oscillation can be related to circular motion; whereas complex oscillation (De Moivre's) can not be related to a mechanical model. A mechanical bevel gear of two different wheels radii is proposed. The position vector of the point is a real quantity. But when the small wheel can not be recognized (observed) within the system, the position vector becomes of a complex feature. The analysis shows that the complex oscillation is a microscopic phenomenon and can be occurred in the following conditions: 1- There should be a gear system. 2- There should be an observation limit.