Abstract
A pair of nonlinear simultaneous differential equations which govern the unsteady bouncing and pitching oscillations of a simple levitated body, are solved by using the method of multiple scales, for the special case in which the fluctuation of the magnetic lift force changes harmonically in the neighborhood of twice the natural frequency of the bouncing oscillation Ωz, and in which the natural frequency of the pitching oscillation Ωo is equal to Ωz/2. As a result, it is shown that there are three types of oscillations ; periodic, quasi-periodic and complicated. Furthermore these three types of oscillations are observed with a simple experimental apparatus.
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