2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/17120We study, both analytically and by numerical modeling the equilibrium probability density function for an non-linear Lévy oscillator with the Lévy index α, 1 \leq α\leq 2, and the potential energy x^4. In particular, we show that the equilibrium PDF is bimodal and has power law asymptotics with the exponent -(α+3).14 pages, LaTeX, 8 figures gifStatistical Mechanicstext