Delay- and noise-induced transitions: a case study for a Hongler model with time delay

Using an exactly solvable model-a generalized Hongler model-we study the impact of time delays on noise-induced transitions to bistability. In particular, we show that systems described by the generalized Hongler model exhibit three parameter regimes. They can be monostable, bistable, or nonstationary. Transitions are induced both by the amplitude of the multiplicative noise and the delay time.