Exact solutions and modeling of associative memory in oscillatory networks

Margarita Kuzmina; Eduard A. Manykin; Irina I. Surina

doi:10.1117/12.304956

1 April 1998 Exact solutions and modeling of associative memory in oscillatory networks

Margarita Kuzmina, Eduard A. Manykin, Irina I. Surina

Proceedings Volume 3402, Optical Information Science and Technology (OIST97): Optical Memory and Neural Networks; (1998) https://doi.org/10.1117/12.304956
Event: Optical Information Science and Technology, 1997, Moscow, Russian Federation

Abstract

This paper is devoted to the study of associative memory in the networks of N coupled nonlinear oscillators interacting via complex-valued weights. Exact solutions relating to the structure of attractors have been obtained. The complete solution to the systems of two oscillators and the structural portrait of the governing dynamical system have been obtained. It is shown that homogeneous closed chains of oscillators play important role in the context of phase associative memory problems. Qualitative description of the memory in the closed chains of N oscillators is given for arbitrary N, and rigorous solutions for N <EQ 6 are illustrated. The networks considered admit electronic, nonlinear optical and optoelectronic implementations. The background of some of them is under development.

Citation Download Citation

Margarita Kuzmina, Eduard A. Manykin, and Irina I. Surina "Exact solutions and modeling of associative memory in oscillatory networks", Proc. SPIE 3402, Optical Information Science and Technology (OIST97): Optical Memory and Neural Networks, (1 April 1998); https://doi.org/10.1117/12.304956

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