Nonlinear Phenomena in Complex Systems, 1998, Vol.1, No.1-4, pp.105-108

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

1998, Volume 1, Number 1-4, pp.105-108

Some Fitzhugh-Like Neuronal Models.
A.D. Linkevich

A class of modifications of the FitzHugh model of neurons are proposed and studied. Time evolution of the neuron state is described by a system of M differential equations which are linear except for one nonlinear term taken to be a bounded function. Bounds of neuron phase trajectories are derived. Networks of neurons under consideration are investigated as well. The learning problem is formulated and reduced to a standard form. Sufficient conditions are found for retrieval of memorized patterns.

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