On periodic signals in stochastic Hodgkin-Huxley models

We consider a stochastic Hodgkin-Huxley model where dendritic input -modelled as an autonomous SDE which depends on a deterministic T-periodic signal t→S(t) encoded in its drift- is the only source of noise. This amounts to a 5d random system driven by 1d Brownian motion.

<link file:340>Complete Abstract