Recurrence recovery in heterogeneous Fermi–Pasta–Ulam–Tsingou systems.

This article focuses on the effects of oscillator heterogeneities on energy recurrence in one-dimensional (1D) Fermi–Pasta–Ulam–Tsingou (FPUT) arrays with cubic nonlinear coupling. It demonstrates that typical real-world variabilities in oscillator parameters disrupt the well-known energy recurrence phenomenon observed in homogeneous FPUT systems. Through numerical simulations, the study shows that arranging oscillators with structured heterogeneities—specifically by ordering tolerance values ascendingly or employing centrosymmetric distributions—can significantly restore energy recurrence despite these heterogeneities. The findings highlight the importance of oscillator arrangement and symmetry in mitigating the impact of manufacturing-induced variabilities on nonlinear dynamical behaviors in FPUT arrays.