The simplest neuron models with bistability occurring as a result of accounting new ion channels

A family of Hodgkin-Huxley-type models demonstrating bistability between silent state and bursting oscillations is proposed. In models several ion channels were taking into account to achieve some specific types of bistability and behavior. We studied parameter space of our models with method of chart of dynamical regimes, areas of bistability were localized. Scenarios of bistability occurrence is described. Specific time series character for new ion channel are studied