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Proceedings Paper

Macrodynamic approach for oscillatory networks
Author(s): Margarita Kuzmina; Irina I. Surina
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Paper Abstract

The system of coupled oscillators, interacting via arbitrary symmetric matrix of connections, is studied from a viewpoint of associative memory modelling. A self-consistent field approach which consists in operating with a finite number of macrovariables (appropriate inner products which can be regarded as order parameters) is used. A system of dynamic equations of oscillatory network being rewritten in terms of macrovariables has a form of independent equations. Being completed by functional equations for order parameters, this system provides a self-consistent description of the oscillatory network. In particular, the approach can be used as an instrument for studying the dependence of the number of network phase locked states on the frequency distribution and the architecture of connections. The abilities of this approach are demonstrated in the case of a network with all-to-all uniform connections.

Paper Details

Date Published: 7 December 1994
PDF: 7 pages
Proc. SPIE 2430, Optical Memory & Neural Networks '94: Optical Neural Networks, (7 December 1994); doi: 10.1117/12.195605
Show Author Affiliations
Margarita Kuzmina, Keldysh Institute of Applied Mathematics (Russia)
Irina I. Surina, Kurchatov Institute (Russia)

Published in SPIE Proceedings Vol. 2430:
Optical Memory & Neural Networks '94: Optical Neural Networks

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