  The computational investigation of Fermi, Pasta, Ulam, and Tsingou of arrays
of nonlinearly coupled oscillators has led to a wealth of studies in nonlinear
dynamics. Most studies of oscillator arrays have considered homogeneous
oscillators, even though there are inherent heterogeneities between
{individual} oscillators in real-world arrays. Well-known FPUT phenomena, such
as energy recurrence, can break down in such heterogeneous systems. In this
paper, we present an approach -- the use of structured heterogeneities -- to
recover recurrence in FPUT systems in the presence of oscillator
heterogeneities. We examine oscillator variabilities in FPUT systems with cubic
nonlinearities, and we demonstrate that centrosymmetry in oscillator arrays may
be an important source of recurrence.
