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Harmonic and Subharmonic Response for the Duffing Equation <i>ẍ</i>+α<i>x</i>+β<i>x</i>3 = <i>F</i> cosω<i>t</i> (α&gt;0)
The Duffing equation ẍ+αx+βx3 = F cosωt (α&gt;0) is known to possess periodic solutions with frequency ω/n for all integral n, provided that β is sufficiently small. For n=1 and n≠1, these solutions are designated in the literature as harmonic and subharmonic solutions respectively. In this paper, a classification of …