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2015 | OriginalPaper | Chapter

Reducing the Sequential Dynamics of Excitatory Neural Networks to Synaptic Cellular Automata

Authors : V. I. Nekorkin, A. S. Dmitrichev, D. V. Kasatkin

Published in: Nonlinear Dynamics New Directions

Publisher: Springer International Publishing

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Abstract

We present a new approach for the description and analysis of sequential dynamics of excitatory neural networks. It is based on the reduction of dynamics of networks to the dynamics of cellular automata (CA) on the graph of connections. The attractors of the CA determine the different regimes of sequential dynamics of the original neural network. We illustrate our approach through Morris–Lecar and Hodgkin–Huxley neural networks.

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Title: Reducing the Sequential Dynamics of Excitatory Neural Networks to Synaptic Cellular Automata
Authors: V. I. Nekorkin
A. S. Dmitrichev
D. V. Kasatkin
Publisher: Springer International Publishing
Book: Nonlinear Dynamics New Directions
Print ISBN: 978-3-319-09863-0

Electronic ISBN: 978-3-319-09864-7

Copyright Year: 2015
DOI: https://doi.org/10.1007/978-3-319-09864-7_5