Inhibition Of Oscillations In A Heterogeneous Network Of Hodgkin-Huxley-Type Of Models

In the present paper a network of two types of Hodgkin-Huxley-type of models is studied. The considered models demonstrate cognate behavior: (i) bursting attractor with unstable equilibrium; (ii) coexistence between bursting attractor and stable equilibrium (with very small basin of attraction of the stable equilibrium). In the case of heterogeneous network the conditions of occurring bitable dynamics is determined.