Figure 2
From: Engineering error correcting dynamics in nanomechanical systems

(a) Schematic of mechanical error correction system, composed of three coupled Duffing oscillators. This functions as a majority voting system and can correct for single SEUs. (b) Time dynamics of error correction device. The coupled oscillators are initialised in their ‘0’ states and after 4.7 periods of oscillation, an impulse is applied to the third oscillator. The third oscillator temporarily transitions into its ‘1’ state, but quickly equilibrates back. The parameters of the oscillator are given by: \(m = 10^{-12}\) kg, \(\Gamma = 10^{5}\) \(\hbox {s}^{-1}\), \(\omega _0 = 10^{6}\) \(\hbox {s}^{-1}\) , \(\alpha = 3 \times 10^{22}\) \(\hbox {m}^{-2}.s^{-2}\), \(\omega = 1.152 \times 10^{6}\) \(\hbox {s}^{-1}\), \(F=1.048 \times 10^{-6}\) N, \(\Delta p = 6 \times 10^{-12}\) \(\hbox {kg.m.s}^{-1}\), \(\beta = 2 \times 10^{11}\) \(\hbox {s}^{-2}\). (c) Phase map of error correction device. The map is divided into four main regions, ‘1’ bias, ‘0’ bias, initialise and error correction. This map is produced using the same parameters as (b). The y-axis is normalised by \(F_{crit}\), which we define as the minimum drive force required to sustain a ‘111’ state. Here, \(F_{crit} = 1.68 \times 10^{-7} \) N at \(\omega = 8.3 \times 10^5\) \(\hbox {s}^{-1}\).