Nonlinear Phenomena in Complex Systems, 2010, Vol.13, No.1, pp.64-69

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2010, Vol.13, No.1, pp.64-69

Field-Theoretic Methods in Study of Analogous Neural Networks.
A. D. Linkevich

It is shown that methods of quantum field theory can be used to investigate dynamical behaviour of analogous neural networks, both deterministic and stochastic. Generating functionals are considered for correlation functions of neuronal variables. Feynman rules for a diagrammatic perturbation theory are given for the case of the FitzHugh - Nagumo model. The renormalization group approach is discussed to computation of the correlation functions.
Key words: analogous neural network, FitzHugh - Nagumo model

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