We present simple classical dynamical models to illustrate the idea of introducing a stochasticity with non-locality into the time variable. For stochasticity in time, these models include noise in the time variable but not in the “space” variable, which is opposite to the normal description...

We study here a simple one-dimensional ring composed of stochastic binary elements with delayed interaction. With this model we can analytically compute “interspike” interval histograms, and show how “resonance” or rhythmic behaviors arise with only noise and delay.