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

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Abstract

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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Authors and Affiliations

  1. Institute of Mathematical Problems of Biology, Russian Academy of Sciences, 142292, Pushchino, Moscow Region, Russia

    Yakov B. Kazanovich & Roman M. Borisyuk

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  1. Yakov B. Kazanovich
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  2. Roman M. Borisyuk
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Kazanovich, Y.B., Borisyuk, R.M. Synchronization in a neural network of phase oscillators with the central element. Biol. Cybern. 71, 177–185 (1994). https://doi.org/10.1007/BF00197321

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  • DOI: https://doi.org/10.1007/BF00197321

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