Influence of couplings and noise on dynamics of ensembles of FitzHugh-Nagumo oscillators
Novichkova V. A 1., Rybalova E. V 1., Ponomarenko V. I 1,2., Vadivasova T. 1; 1.Saratov State University, Saratov, Russia, 2.Saratov Brunch of Kotel’nikov Institute of Radioengineering and Electronics, Russia
Abstract
The study focuses on analyzing spike activity and synchronization in ensembles of FitzHugh-Nagumo neurons, both with and without external noise excitation. These networks can induce oscillations at different frequencies, depending on the excitability parameter of individual elements and the coupling strength between them. It has been shown that small single-layer of identical oscillators (FitzHugh-Nagumo neurons), with a simple coupling topology, can exhibit different spike activity and synchronisation. In this case, the neurons transition to a self-oscillatory mode due to repulsive coupling between the elements. The research has established that in the single-layer network, a ring of elements can synchronize in frequency with the central element within a specific range of coupling strength values.
This work was supported by the Russian Science Foundation (project No. 23-12-00103,
https://rscf.ru/project/23-12-00103/).
Speaker
Valentina Novichkova
Saratov State University
Russia
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