Abstract
AbstractIn an oscillator with multiple degrees of freedom using one active element, stable multimode oscillation is produced sometimes while only single‐mode oscillation is produced at other times, depending on characteristics of the active element. To account for this difference, the generation mechanism of multimode oscillation is discussed. First, the averaging procedure in time in the averaged potential method is represented as an expectation in terms of the probability density function of the voltage impressed on the active element. Using this expression, the probability density minimizing the averaged potential, i.e., the oscillation waveform, can be determined for the given element characteristics. Thus, the generation mechanism for multimode oscillation is described and the relation of the element characteristics to the conditions for the single‐mode or double‐mode oscillations can be presented. It is especially hoped that by using suitable element characteristics, a double‐mode oscillation can be produced with unequal amplitudes not presently known. Furthermore, several conclusions can be made with respect to general properties such as the fact that the double‐mode oscillation cannot be produced using only one active element with soft‐excitation properties.
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