Mean time until break of a chain with N = 2, 3, 4 oscillators / S. A. Muzychka. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 4. P. 46-51 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

An asymptotic formula is obtained for an average time of rupture for a chain of harmonic oscillators consisted of N = 2, 3, 4 particles with nearest-neighbor interaction and random external force.

Key words: system of harmonic oscillators, large deviations, Markov process, mean exit time.

№ 4/2013