強制van der Pol方程式における非線形振動

概要

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Periodic oscillation occurs when a periodic force is applied to a system whose free oscillation is of the self-excited type. A typical case is the system governed by forced van der Pol's equation. In this paper, we obtain the regions in which the subharmonic oscillations of order 1/n (n being a positive integer) in forced van der Pol's equation occur. Next we show that the subharmonic oscillation of order m/n (where n>m>1 and m/n is irreducible.) may result if the amplitude and the frequency of the external force are properly given outside these regions. Furthermore we obtain a bifurcation diagram with varying of the frequency of external force.
2006-03-01