Emergent Error Correcting States in Networks of Nonlinear Oscillators

Abstract

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.