  Networks of nonlinear oscillators can exhibit complex collective behaviour
ranging from synchronised states to chaos. Here, we simulate the dynamics of
three coupled Duffing oscillators whose multiple equilibrium states can be used
for information processing and storage. Our analysis reveals that even for this
small network, there is the emergence of an error correcting phase where the
system autonomously corrects errors from random impulses. The system has
several surprising and attractive features, including dynamic isolation of
resonators exposed to extreme impulses and the ability to correct simultaneous
errors. The existence of an error correcting phase opens the prospect of
fault-tolerant information storage, with particular applications in
nanomechanical computing.
