About the string with beads
Анотація
We consider a classical problem of free oscillations of the elastic weightless string with N beads which has been originally studied by Lagrange. We prove that for N being prime or a power of 2 the maximal displacement of the bead from its equilibrium position increases to infinity as N →∞ while the total energy of system remains bounded by independent on N constant.Downloads
Як цитувати
(1)
A. D. Myshkis, A. M. Filimonov, About the string with beads, Мат. физ. анал. геом. 10 (2003), 301-306.
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