Nonlinear Phenomena in Complex Systems, 2006, Vol.9, No.1, pp.81-86

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2006, Vol.9, No.1, pp.81-86

An Exactly Solvable Model of Neural Networks.
A. D. Linkevich and S. V. Zhestkov

A model is proposed and studied in which dynamics of a single isolated unit is governed by a linear differential equation while interaction between such units are both of the first and of the second orders on neuronal variables. The system of coupled nonlinear differential equations has been solved exactly. Properties of the solution are discussed. An exactly solvable generalization of the system is given.
Key words: information processing, neuron-like element, differential equation, exactly solution

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