Exact synchronization of noisy bursting neurons with coupling delays

Exact synchronization of a pair of stochastically perturbed Hindmarsh-Rose bursting neurons with delayed electrical coupling is studied. Possibility of stochastically stable exact synchronization with sufficiently strong coupling is proved for arbitrary time-lags and sufficiently small noise. Various effects of the interplay and influence of noise and time-delay on the exact synchrony are studied by numerical computations.