Macrodynamic approach for oscillatory networks

Margarita Kuzmina; Irina I. Surina

doi:10.1117/12.195605

7 December 1994 Macrodynamic approach for oscillatory networks

Margarita Kuzmina, Irina I. Surina

Proceedings Volume 2430, Optical Memory & Neural Networks '94: Optical Neural Networks; (1994) https://doi.org/10.1117/12.195605
Event: Optical Memory and Neural Networks: International Conference, 1994, Moscow, Russian Federation

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.

Citation Download Citation

Margarita Kuzmina and Irina I. Surina "Macrodynamic approach for oscillatory networks", Proc. SPIE 2430, Optical Memory & Neural Networks '94: Optical Neural Networks, (7 December 1994); https://doi.org/10.1117/12.195605

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