Distribution of residence times of time-delayed bistable systems driven by noise.
I study bistable time-delayed feedback systems driven by noise. Based on a two-state model with transition rates depending on the earlier state of the system I calculate analytically the residence-time distribution function. I show that the distribution function has a detailed structure, reflective of the effect of the feedback. By using an adequate indicator I give evidence of resonant behavior in dependence on the noise level. I also predict that this feedback-induced effect might be observed in two well-known optical bistable systems.
Masoller
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Instituto de Física, Facultad de Ciencias, Universidad de la República, Igua 4225, Montevideo 11400, Uruguay.
D001369:Axons / Q000502:physiology; D005246:Feedback; D008959:Models, Neurological; D008962:Models, Theoretical; D009622:Noise; D055095:Optics and Photonics; D011789:Quantum Theory; D013269:Stochastic Processes; D013569:Synapses / Q000502:physiology; D009435:Synaptic Transmission / Q000502:physiology