Travelling waves in interacting rings of coupled FitzHugh-Nagumo neurons
Andrei V. Bukh1, Galina I. Strelkova1; 1Saratov State University
Abstract
In this paper, we study the conditions for efficient control of complex structures and synchronization effects in multilayer networks using delayed connections using the example of coupled rings of FitzHugh-Nagumo neurons with nonlocal communication inside the ring and multiplexed interlayer communication. Traveling waves with different characteristics and different ring parameters are chosen as initial structures in individual rings. The behavior of interconnected ensembles is studied when introducing and gradually increasing interlayer communication. The effect of delay in interlayer communication is also considered.
This work was supported by the Russian Science Foundation (project No. 20-12-00119,
https://rscf.ru/project/20-12-00119/). A. V. Bukh thanks for the financial support provided by The Council for grants of President of Russian Federation , project number СП-774.2022.5 (SP-774.2022.5).
Speaker
Andrei Bukh
Saratov State University
Russia
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