  Systems with many stable configurations abound in nature, both in living and
inanimate matter. Their inherent nonlinearity and sensitivity to small
perturbations make them challenging to study, particularly in the presence of
external driving, which can alter the relative stability of different
attractors. Under such circumstances, one may ask whether any clear
relationship holds between the specific pattern of external driving and the
particular attractor states selected by a driven multistable system. To gain
insight into this question, we numerically study driven disordered mechanical
networks of bistable springs which possess a vast number of stable
configurations arising from the two stable rest lengths of each spring, thereby
capturing the essential physical properties of a broad class of multistable
systems. We find that the attractor states of driven disordered multistable
mechanical networks are fine-tuned with respect to the pattern of external
forcing to have low work absorption from it. Furthermore, we find that these
drive-specific attractor states are even more stable than expected for a given
level of work absorption. Our results suggest that the driven exploration of
the vast configuration space of these systems is biased towards states with
exceptional relationship to the driving environment, and could therefore be
used to `discover' states with desired response properties in systems with a
vast landscape of diverse configurations.
