On Properties of Large Wave Effect in Classical Problem of Bead String Vibration.

We consider a classical problem of free oscillations of the elastic weightless string with N + 1 beads which has been originally studied by Lagrange. It is proved that for N being prime or a power of 2, the maximal displacement of the bead from its equilibrium position increases logarithmically to infinity as N → ∞. [ABSTRACT FROM AUTHOR]