2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/25643We study numerically phonon modes of the classical one-dimensional Frenkel-Kontorova chain, in the regime of pinned phase characterized by the phonon gap and devil's staircase, as well as by a large number of states (configurational excitations), which energy splitting from the ground state is exponentially small. We demonstrate, these states behave like disorder media: their phonon modes are {\it exponentially} localized, in contrast to the phonon modes in the ground state, where phonons are {\it prelocalized} only. We demonstrate also, the phonon frequency spectrum of the ground state has an hierarchical structure, a direct manifestation of hierarchical spatial structure, found for the ground state of the FK chain in our recent work.8 pages, 10 figuresDisordered Systems and Neural Networkstext