  We consider disordered solids in which the microscopic elements can deform
plastically in response to stresses on them. We show that by driving the system
periodically, this plasticity can be exploited to train in desired elastic
properties, both in the global moduli and in local "allosteric" interactions.
Periodic driving can couple an applied "source" strain to a target strain over
a path in the energy landscape. This coupling allows control of the system's
response even at large strains well into the nonlinear regime, where it can be
difficult to achieve control simply by design.
