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One of the problems of periodic FPU-chains with alternating masses is whethersignificant interactions exist between the so-called (high frequency) opticaland (low frequency) acoustical groups. We show that for $\alpha$-chains with$4n$ and $8n$ particles ($n= 1, 2, \ldots$) we have significant interactionscaused by external forcing. For $\beta$-chains with $4$ and $8$ particles theinteractions are characterised by parametric forcing, the interactions arenegligible.

Optical-acoustical interaction in FPU-chains with alternating large masses (plus appendix)