On the study of forced oscillations in a non-uniform chain of linear oscillators with friction and a small parameter

Title	On the study of forced oscillations in a non-uniform chain of linear oscillators with friction and a small parameter
Authors	P. A. Shamanaev¹ ¹Sirius University of Science and Technology
Annotation	Transverse oscillations of a non-uniform chain of linear oscillators with friction are investigated using the Lyapunov-Schmidt method. Analytical expressions relating oscillation amplitudes to a small parameter are obtained.
Keywords	chain of coupled linear oscillators, forced periodic oscillations, Lyapunov-Schmidt method.
Citation	Shamanaev P. A. ''On the study of forced oscillations in a non-uniform chain of linear oscillators with friction and a small parameter'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 244-245. Available at: https://conf.svmo.ru/files/2026/papers/paper115.pdf. - Date of access: 25.09.2026.