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Article

Chaotic regimes in the ensemble of FitzhHugh-Nagumo elements with weak couplings

Kazakov A., Korotkov A. G., Levanova T. A., Osipov G. V.

We study the peculiarities of chaotic dynamics in the phenomenological model of the ensemble of two FitzHugh-Nagumo elements with weak excitatory couplings. This model was recently proposed as a suitable model for describing the behaviour of two coupled neurons. A rich diversity of different types of neuron-like behaviour, including regular in-phase, anti-phase, sequential spiking activities and also chaotic activity was observed in this model. We focus on chaotic bursting and chaotic spiking neuron-like activity in this paper. We study in details bifurcation scenarios of the emergence and destruction of these types of neuron-like activity.