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The behavior of with time for , , and with and (triangles), (squares), and (circles).
The mean value of between 80 and , , as a function of the phase parameter . Here and . The arrowed line indicates those values of for which is constant at .
The pair probability density for intruders excited by a fundamental plus its fourth harmonic. The heavier line shows the data for , while the lighter line shows the data for . The data are taken with and .
The effect of throwing the granular bed using a wave form consisting of a fundamental and its fourth harmonic. Here , , , and (top) and (bottom). In each case the motion of the cell is shown as a continuous line, and the motion of the bed is shown as bold filled circles. The arrows indicate bed impacts.
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