Phase transitions on an array of double-threshold noisy devices with a positive feedback

摘要: Abstract We consider solutions of the self-consistent equation an array double threshold noisy devices with a positive feedback aggregation output from each device. Stationary (order parameter) as function input signal are investigated. classify stationary three types: (1) monotonically increasing (for large noise strength and small strength), which is approximated by linear around signal; (2) single-hysteresis observed in Ising model; (3) double-hysteresis never found model. The diagram to show different types theoretically calculated. discuss method improve performance stochastic resonator tuning system near phase transition point. conclude that response exhibits behaviors depending on standard deviation noise.