Co-existence of bursting-cycles in impulse neuron model with delay

Marushkina Elena

Yaroslavl State Universty of P.G. Demidov , Russia

The dynamics of differential equation with delay occuring in the simulation of the impulse neuron is considered. The method of large parameter is used for research. As a result it is shown that bursting-cycles coexist in the model with an appropriate choice of parameters. Asymptotic formulas are constructed. Corresponding numerical analysis allows us to demonstrate the results.