Exact synchronization of noisy bursting neurons with coupling delays

Abstract 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.

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