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Synchronization in a neural network of phase oscillators with the central element

✍ Scribed by Yakov B. Kazanovich; Roman M. Borisyuk

Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
765 KB
Volume
71
Category
Article
ISSN
0340-1200

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✦ Synopsis

A neural network model is considered which is designed as a system of phase oscillators and contains the central oscillator and peripheral oscillators which interact via the central oscillator. The regime of partial synchronization was studied when current frequencies of the central oscillator and one group of peripheral oscillators are near to each other while current frequencies of other peripheral oscillators are far from being synchronized with the central oscillator. Approximation formulas for the average frequency of the central oscillator in the regime of partial synchronization are derived, and results of computation experiments are presented which characterize the accuracy of the approximation.

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