EVOLUTIONARY IZHIKEVICH NEURON MODEL AND ITS APPLICATION
Keywords:
impulse neural networks, mathematical modeling of impulse neural networks, Hodgkin-Huxley mathematical model, LIF mathematical model , Izhikevich mathematical model, evolutionary non-linear operator, evolutionary operator impulse characteristicsAbstract
Pulse neural networks [1–3] are third generation artificial neural networks. The paper proposes a method for mathematical modeling of such networks using evolutionary operators with generalized impulse responses that convolve with direct powers of input actions.
The advantage of the Hodgkin-Huxley model is that the description of neurons is
very accurate, but the complexity is high and it is not suitable for use in large networks.
A simple LIF model has also been proposed for modeling neurons, but some
properties of neurons in such a model are ignored due to the fact that such a model is
too concise. E.M. Izhikevich [3] simplified the Hodgkin-Huxley model in 2003.
The paper considers the construction of impulse neuron network based on Izhikevich
neuron model.
